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MTH 213 Week 4 Checkpoint

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In the following, write an expression in terms of the given variables that represents the indicated quantity. Complete parts a through g.

a. The cost of having a plumber spend h hr at your house if the plumber charges $5050 for coming to the house and $x per hour for labor.

The expression for the cost of the plumber coming to the house is

50 plus xh50+xh dollars.

(Simplify your answer.)

b. The amount of money in cents in a jar containing some nickels and d dimes and some quarters if there are 66 times as many nickels as dimes and twice as many quarters as nickels.

The expression for the amount of money in the jar is

340 d340d cents.

(Simplify your answer.)

c. The sum of threethree consecutive integers if the greatest integer is x

The expression for the sum of the threethree consecutive integers is

3 x minus 33x−3.

(Simplify your answer.)

d. The amount of bacteria after n min if the initial amount of bacteria is q and the amount of bacteria triples every 1515 sec. (Hint: The answer should contain q as well as n)

The expression for the amount of bacteria is

q left parenthesis 3 Superscript 4 n Baseline right parenthesisq34n.

(Simplify your answer.)

e. The temperature t hr ago if the present temperature is 7070degrees°F and each hour it drops by 44degrees°F.

The expression for the temperature is

70 plus 4 t70+4tdegrees°F.

(Simplify your answer.)

f. Pawel’s total earnings after 3 yr if the first year his salary was s dollars, the second year it was $70007000 higher and the third year it was twice as much as the first year.

The expression for Pawel’s total earnings is

4 s plus 70004s+7000 dollars.

(Simplify your answer.)

g. The sum of fourfour conscecutive even whole numbers if the greatest is x.

The expression for the sum of fourfour consecutive even whole numbers is

4 x minus 124x−12.

(Simplify your answer.)

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Find an equation of the line containing the given pair of points.

(33,22) and (99,33)

yequals=

one sixth x plus three halves

1

6x+

3

2

(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)

John wants to buy some camera equipment. To estimate the total cost he rounds each price to the nearest dollar and adds the rounded prices. What is his estimate for the items listed?

Camera

$77.1477.14

Film

$15.7915.79

Case

$8.798.79

The estimate is $

102102.

(Type a whole number.)

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The five top swimmers in an event had the following times.

Start 6 By 2 Table 1st Row 1st Column Swimmer 2nd Column Time 2nd Row 1st Column Kathy 2nd Column 60.84 3rd Row 1st Column Martha 2nd Column 60.03 4st Row 1st Column Emily 2nd Column 61.12 5st Row 1st Column Rhonda 2nd Column 61.23 6st Row 1st Column Molly 2nd Column 61.73 EndTable Swimmer Time Kathy 60.84 Martha 60.03 Emily 61.12 Rhonda 61.23 Molly 61.73

In order of how they placed, they were ___.

A.

Molly comma Martha comma Kathy comma Emily comma RhondaMolly, Martha, Kathy, Emily, Rhonda

B.

Martha comma Kathy comma Molly comma Emily comma RhondaMartha, Kathy, Molly, Emily, Rhonda

C.

Emily comma Rhonda comma Martha comma Kathy comma MollyEmily, Rhonda, Martha, Kathy, Molly

D.

Martha comma Kathy comma Emily comma Rhonda comma Molly

Indicate whether the statement is true or false.

StartRoot 9 EndRoot9 is an irrational number.

Choose the correct answer below.

FalseFalse

Your answer is correct.

True

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Determine if the given number belongs to the set.

Natural(N) Numbers

Whole(W) Numbers

Integers(I)

Rational (Q) Numbers

Irrational (S) Numbers

Real (R) Numbers

five sixths

5

6

No

No

No

Yes

No

Yes

Write the numbers in each of the following sentences as decimals in symbols.

a. An insect has body length about fifteenfifteen hundredthshundredths of an inch.

b. A planet goes around its sun once every fivefive hundred fortyforty-oneone and eightyeighty-sevenseven thousandthsthousandths days.

a. The insect has body length about

0.150.15 in.

b. The planet goes around its sun once every

541.087541.087 days.

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The graph shows the relationship between the number of cars on a certain road at different times between 5:00 A.M. and 9:00 A.M.

a) The increase in the number of cars on the road between 6:30 A.M. and 7 : 00 A.M.7:00 A.M. is

5050 cars.

b) The increase in the number of cars was the greatest between which times?

A.

5:00-5:30

B.

6:00-6:30

Your answer is correct.C.

8:30-9:00

D.

7:00-7:30

c) What was the increase in the number of cars between 8:00 A.M. and 8:30 A.M.?

00

d) The number of cars decreased between which time periods below?

A.

7:00-7:30

B.

6:00-6:30

C.

8:30-9:00

Your answer is correct.D.

5:00-5:30

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Convert to decimal notation.

8.58.5 times •10 Superscript negative 610−6

8.58.5 times •10 Superscript negative 610−6equals=

0.00000850.0000085

(Simplify your answer. Type an integer or a decimal.)

Matt has twicetwice as many stickers as David. How many stickers must Matt give David so that they will each have 105105 stickers? Check that your answer is correct.

Matt needs to give David

3535 stickers so that they both will have 105105 stickers.

16 years from now a girl’s age will be 55 times her present age. Find the girl’s age now.

The girl is currently

44 years old.

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In each of the following, order the decimals from greatest to least.

a. 17.1277217.12772, 17.1278517.12785, 17.12817.128, 17.127817.1278

b. minus−2.632.63, minus−2.6482.648, minus−2.60382.6038, minus−2.6382.638

a. Order the decimals 17.1277217.12772, 17.1278517.12785, 17.12817.128, and 17.127817.1278 from greatest to least.

17.12817.128

greater than>

17.1278517.12785

greater than>

17.127817.1278

greater than>

17.1277217.12772

b. Order the decimals minus−2.632.63, minus−2.6482.648, minus−2.60382.6038, and minus−2.6382.638 from greatest to least.

negative 2.6038−2.6038

greater than>

negative 2.63−2.63

greater than>

negative 2.638−2.638

greater than>

negative 2.648

Which of the following are functions from the set StartSet 1 comma 2 comma 3 comma 4 EndSet to the set StartSet a comma b comma c comma d EndSet? If the set of ordered pairs is not a function, explain why not.

a. StartSet left parenthesis 1 comma a right parenthesis comma left parenthesis 2 comma b right parenthesis comma left parenthesis 3 comma c right parenthesis comma left parenthesis 4 comma d right parenthesis EndSet{(1,a),(2,b),(3,c),(4,d)}

b. StartSet left parenthesis 1 comma a right parenthesis comma left parenthesis 2 comma b right parenthesis comma left parenthesis 3 comma c right parenthesis comma left parenthesis 4 comma a right parenthesis EndSet{(1,a),(2,b),(3,c),(4,a)}

a. Is the set of ordered pairs StartSet left parenthesis 1 comma a right parenthesis comma left parenthesis 2 comma b right parenthesis comma left parenthesis 3 comma c right parenthesis comma left parenthesis 4 comma d right parenthesis EndSet{(1,a),(2,b),(3,c),(4,d)} a function?

It is

a function

because

each input maps to exactly one output.each input maps to exactly one output.

b. Is the set of ordered pairs StartSet left parenthesis 1 comma a right parenthesis comma left parenthesis 2 comma b right parenthesis comma left parenthesis 3 comma c right parenthesis comma left parenthesis 4 comma a right parenthesis EndSet{(1,a),(2,b),(3,c),(4,a)} a function?

It is

a function

because

each input maps to exactly one output.

A U.S. $1 bill was valued at 1.056081.05608 Hong Kong dollarsHong Kong dollars (Hong Kong’sHong Kong’s currency) on a particular day. What was the value of $ 31.64$31.64 American dollars in Hong Kong dollarsHong Kong dollars that day?

The value is approximately

33.4133.41 Hong Kong dollarsHong Kong dollars.

(Round to the nearest hundredth as needed.)

A normal carpenter’s ruler has a mark at sevenseven sixteenthssixteenths. What would be the value of this mark in decimal form?

The value is

0.43750.4375.

(Type an integer or a decimal.)