# Section 1- 4 Functions Given by Words

Business

Q 1Q 1

Verifying agreement at several points assures that a verbal description and a formula describe the same function.

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True False

False

Q 2Q 2

When formulas are used to represent verbal descriptions, it is important to write down what the variables represent.

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True False

True

Q 3Q 3

When variables are introduced to describe real situations, it is important to include proper units.

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True False

True

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True False

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True False

Q 6Q 6

If a formula does not match a verbal description at one point, the formula and verbal description may still describe the same function.

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True False

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True False

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True False

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True False

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True False

Q 11Q 11

If you are driving at a constant speed, the distance you travel is proportional to the time you spend driving.Using D for the distance traveled, in miles, t for the time, in hours, that you drive, and r for the constant of proportionality, express the proportionality relation using a formula.
A)
B)
C)
D)

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Multiple Choice

Q 12Q 12

If you work for $8 per hour, then your pay P, in dollars, is proportional to the hours you work.Express this proportionality relationship as a formula using H for hours worked.
A)
B)
C)
D) None of the above.

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Multiple Choice

Q 13Q 13

If you work 42 hours per week, then your weekly pay P, in dollars, is proportional to your hourly wage W, in dollars per hour.Express this proportionality relationship as a formula.
A)
B)
C)
D) None of the above.

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Multiple Choice

Q 14Q 14

Sugar costs $1.55 per pound, and lemons cost $0.47 each.You sell lemonade for $1.35 per glass.Write S for the pounds of sugar used, L for the number of lemons used, G for the number of glasses of lemonade you sell, and P for the profit, in dollars, you make.Express using a formula your profit in terms of pounds of sugar used, number of lemons used, and number of glasses of lemonade sold.
A)
B)
C)
D)

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Multiple Choice

Q 15Q 15

With no advertising your newspaper has a circulation of 1042 newspapers.For each dollar you spend on advertising, newspaper circulation increases by 16 newspapers.You sell each paper for 37 cents.You pay $488 to print the paper and have it delivered.Give a formula that shows your net income , in dollars, if you spend dollars on advertising.Suggestion: First calculate the number of newspapers you sell.Don't forget to include the dollars you spend on advertising in your expenses.
A)
B)
C)
D)

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Multiple Choice

Q 16Q 16

An initial investment of $557.33 grows at a rate of 5 percent per year.What is the value of the investment after 4 years? Round your answer to the nearest cent.
A) $585.20
B) $668.80
C) $677.44
D) None of the above

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Multiple Choice

Q 17Q 17

An initial investment of $545.45 declines at a rate of 5 percent per year.What is the value of the investment after 3 years? Round your answer to the nearest cent.
A) $572.72
B) $81.82
C) $467.66
D) None of the above

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Multiple Choice

Q 18Q 18

The maximum length of a certain type of fish is 61 centimeters.The difference between the maximum length and the length at age t years is given by centimeters.Write a formula that gives the length L, in centimeters, of the fish at age t years.
A)
B)
C)
D)

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Multiple Choice

Q 19Q 19

The temperature of an oven remains constant at 391 degrees Fahrenheit.A potato is placed in the oven to bake.The difference between the temperature of the oven and that of the potato after t minutes in the oven is given by degrees Fahrenheit.Write a formula that gives the temperature T, in degrees Fahrenheit, of the potato after t minutes in the oven.
A)
B)
C)
D)

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Multiple Choice

Q 20Q 20

You start with an investment of $1440.09.The first year the investment grows by 7%.The second year the investment declines by 7%.What is the value of the investment at the end of the two-year period? Round your answer to the nearest cent.
A) $1,440.09
B) $1,433.03
C) $0.00
D) None of the above

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Multiple Choice

Q 21Q 21

You start with an investment of $1482.65.The first year the investment declines by 7%.The second year the investment grows by 8%.What is the value of the investment at the end of the two-year period? Round your answer to the nearest cent.
A) $1489.17
B) $1459.52
C) $14.83
D) $112.09

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Multiple Choice

Q 22Q 22

You start with $32.28 in your piggy bank and add $9.28 each week.Write a formula for the amount P of money, in dollars, in your piggy bank after t weeks.
A)
B)
C)
D) None of the above

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Multiple Choice

Q 23Q 23

You sell cookies for 84 cents each.You paid $9.85 for ingredients to make the cookies.Which of the following is a correct formula for the profit P, in dollars, you make from baking and selling c cookies?
A)
B)
C)
D) None of the above

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Multiple Choice

Q 24Q 24

You sell earrings for $6.33 each.You paid $57.21 for supplies to make the earrings.Which of the following is a correct formula for the profit P, in dollars, you make from making and selling E earrings?
A)
B)
C)
D)

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Multiple Choice

Q 25Q 25

It takes 13 minutes to preheat your oven.Once the oven is preheated, baking time for a roast is 13 minutes per pound.Using w as the weight of the roast, in pounds, and B for oven time (including preheating time), in minutes, give a formula that shows the oven time for a roast that weighs w pounds.
A)
B)
C)
D) None of the above

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Multiple Choice

Q 26Q 26

There are 19,077 students at your university.The student population is expected to grow by 7% per year for the next few years.What is the expected student population after 3 years? Round your answer to the nearest whole number.
A) 23,370 students
B) 23,083 students
C) 20,412 students
D) None of the above

Free

Multiple Choice