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Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Linear Functions

Grade: 1300-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 plant grows 2 inches per week. Write a linear function to represent the height of the plant in inches as a function of the number of weeks since it was planted. If the plant was 10 inches tall when it was planted, how tall will it be after 6 weeks?	A) 22 B) 30 C) 20 D) 32
2	A company sells two types of cell phones. The first type costs $50 each, and the second type costs $80 each. If the company sold a total of 100 phones and made $6000, how many of each type did they sell?	A) 76, 33 B) 67, 33 C) 73, 63 D) 63, 73
3	A phone plan charges a monthly fee of $20 plus $0.05 per minute for calls. Write the equation for the total cost © as a function of the number of minutes used (x).	A) C(x) = 10 + 0.05x B) C(x) = 20 + 0.15x C) C(x) = 20 + 0.05x D) C(x) = 10 + 1.05x
4	A moving company charges a base fee of $40 and an additional $12 per mile driven. Let x represent the distance (in miles) and y represent the total cost. Write a linear equation to model this situation. If the total cost is $104, how far did the moving company travel?	A) 4.33 miles B) 5.13 miles C) 4.23 miles D) 5.33 miles
5	A car’s value depreciates by $1500 per year. Write a linear function to represent its value (V) after x years if its initial value is $25,000.	A) V(x) = 15000 − 1000x B) V(x) = 15000 − 1500x C) V(x) = 25000 − 1000x D) V(x) = 25000 − 1500x
6	In the linear function f, f(0) = 8 and (1) = 12. Which equation defines f?	A) f(x) = 12x + 8 B) f(x) = 4x C) f(x) = 4x + 8 D) f(x) = 4x + 12
7	A linear model estimates the population of a city from 1991 to 2015. The model estimates the population was 57 a thousand in 1991, 224 thousand in 2011, and x thousand in 2015. To the nearest whole number, what is the value of x?	A) 527 thousand B) 257 thousand C) 572 thousand D) 275 thousand
8	A linear function P(t) represents the population of a city (in thousands) t years after 2020. If P(2) = 15 and P(5) = 20, find the population of the city in 2030.	A) 28,333 B) 23,338 C) 23,833 thousand D) 23,383
9	\$"f"("x") = ("x" + 7)/4\$ For the function f defined above, what is the value of f(9) - f(1)?	A) \$1/4\$ B) 2 C) 1 D) \$1/9\$
10	Find the equation of a line that is perpendicular to 3x - 4y + 8 = 0 and passes through the point (2, −1).	A) \$"y" = (4/3) "x" + 5/3\$ B) \$"y" = - (3/4) "x" + 5/3\$ C) \$"y" = - (4/3) "x" + 5/3\$ D) \$"y" = (3/4) "x" - 5/3\$

Problem Id

Problem

Options

A plant grows 2 inches per week. Write a linear function to represent the height of the plant in inches as a function of the number of weeks since it was planted. If the plant was 10 inches tall when it was planted, how tall will it be after 6 weeks?

A) 22

B) 30

C) 20

D) 32

A company sells two types of cell phones. The first type costs $50 each, and the second type costs $80 each. If the company sold a total of 100 phones and made $6000, how many of each type did they sell?

A) 76, 33

B) 67, 33

C) 73, 63

D) 63, 73

A phone plan charges a monthly fee of $20 plus $0.05 per minute for calls. Write the equation for the total cost © as a function of the number of minutes used (x).

A) C(x) = 10 + 0.05x

B) C(x) = 20 + 0.15x

C) C(x) = 20 + 0.05x

D) C(x) = 10 + 1.05x

A moving company charges a base fee of $40 and an additional $12 per mile driven. Let x represent the distance (in miles) and y represent the total cost. Write a linear equation to model this situation. If the total cost is $104, how far did the moving company travel?

A) 4.33 miles

B) 5.13 miles

C) 4.23 miles

D) 5.33 miles

A car’s value depreciates by $1500 per year. Write a linear function to represent its value (V) after x years if its initial value is $25,000.

A) V(x) = 15000 − 1000x

B) V(x) = 15000 − 1500x

C) V(x) = 25000 − 1000x

D) V(x) = 25000 − 1500x

In the linear function f, f(0) = 8 and (1) = 12. Which equation defines f?

A) f(x) = 12x + 8

B) f(x) = 4x

C) f(x) = 4x + 8

D) f(x) = 4x + 12

A linear model estimates the population of a city from 1991 to 2015. The model estimates the population was 57 a thousand in 1991, 224 thousand in 2011, and x thousand in 2015. To the nearest whole number, what is the value of x?

A) 527 thousand

B) 257 thousand

C) 572 thousand

D) 275 thousand

A linear function P(t) represents the population of a city (in thousands) t years after 2020. If P(2) = 15 and P(5) = 20, find the population of the city in 2030.

A) 28,333

B) 23,338

C) 23,833 thousand

D) 23,383

\$"f"("x") = ("x" + 7)/4\$
For the function f defined above, what is the value of f(9) - f(1)?

A) \$1/4\$

B) 2

C) 1

D) \$1/9\$

Find the equation of a line that is perpendicular to 3x - 4y + 8 = 0 and passes through the point (2, −1).

A) \$"y" = (4/3) "x" + 5/3\$

B) \$"y" = - (3/4) "x" + 5/3\$

C) \$"y" = - (4/3) "x" + 5/3\$

D) \$"y" = (3/4) "x" - 5/3\$