Quiz In Class

Title: Linear Functions

Grade: 1400-a Lesson: S1-L3

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id Problem Options

1

A window repair specialist charges $220 or the first two hours of repair plus an hourly fee for each additional hour. The total cost for 5 hours of repair is $400. Which function f gives the total cost, in dollars, for x hours of repair, where x ≥ 2?

A) f(x) = 60x + 100

B) f(x) = 60x + 220

C) f(x) = 80x

D) f(x) = 80x + 220

2

\$"F"("x") = 9/5 ("x" - 273.15) + 32\$ The function F gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of x kelvins. If a temperature increased by 9.10 kelvins, by how much did the temperature increase, in degrees Fahrenheit?

A) 48.38

B) 16.38

C) 475.29

D) 507.29

3

Oil and gas production in a certain area dropped from 4 million barrels in 2000 to 1.9 million barrels in 2013. Assuming that the oil and gas production decreased at a constant rate, which of the following linear functions f best models the production, in millions of barrels, t years after the year 2000?

A) \$"f"("t") = 21/(130) t + 4\$

B) \$"f"("t") = 19/(130) t + 4\$

C) \$"f"("t") = - 21/(130) t + 4\$

D) \$"f"("t") = - 19/(130) t + 4\$

4

A taxi company charges a fixed fee plus a rate per mile for a ride. If a ride of 10 miles costs $25 and a ride of 20 miles costs $40, what is the fixed fee and the rate per mile?

A) x = 15$, y = 1.5$

B) x = 20$, y = 2.5$

C) x = 50$, y = 3.5$

D) x = 10$, y = 1.5$

5

Milk production in a certain area dropped from 10 million cartons in 2000 to 2.7 million cartons in 2018. I was assuming that milk production decreased at a constant rate, which of the following linear functions f best models the production, in millions of cartons, t years after 2000?

A) \$"f"("t") = (73/180)"t" + 10\$

B) \$"f"("t") = (27/180)"t" + 10\$

C) \$ "f"("t") = (- 27/180)"t" + 10\$

D) \$ "f"("t") = (- 73/180) "t" + 10\$

6

An economist modeled the demand Q for a certain product as a linear function of the selling price P. The demand was 20,000 units when the selling price was $40 per unit, and the market was 15,000 units when the selling price was $60 per unit. Based on the model, what is the demand, in units, when the selling price is $55 per unit?

A) 17,500

B) 16,500

C) 16,250

D) 16,750

7

The functions f and g are defined as \$f("x") = (1/4)"x" - 9\$ and \$"g"("x") = (3/4)"x" + 21\$. If the function is defined as h(x) = f(x) + g(x) what is the x-coordinate of the x-intercept of the graph of y = h(x) in the xy-plane?

A) - 21

B) - 12

C) 21

D) 12

8

A chemist needs to mix a solution that is 40% alcohol with a solution that is 70% alcohol to create 100 liters of a 50% alcohol solution. How many liters of each solution should the chemist use?

A) 66.67 liters and 33.33 liters

B) 76.66 liters and 33.33 liters

C) 66.67 liters and 36.33 liters

D) 76.66 liters and 36.33 liters

9

For the linear function f, the table shows three values of x and their corresponding f(x) values. Function f is defined by f(x) = a + b, where a and b are constants. What is the value of a - b?

9

A) - 64

B) 192

C) 128

D) 62

10

An investment account offers a linear growth rate. If the account balance was $10,000 two years ago and is $12,500 now, find the linear function that represents the account balance over time and predict the balance in 5 years.

A) $16,524

B) $16,205.00

C) $16,250.00

D) $16,254


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