Quiz about Real-World Slope

Question 1

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

Accepted Answer

y = 1.50x + 4

Answer

y = 4x + 1.50

Question 2

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

Accepted Answer

y = 5x +20

Answer

y = 20x + 5

Question 3

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

Accepted Answer

C = 5h + 3

Answer

C = 3h + 5

Answer

H = 5c + 3

Answer

H = 3c + 5

Question 4

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.

Accepted Answer

C = 25 + 50h

Answer

C = 50 + 25h

Answer

H = 25 + 50c

Answer

H = 50 + 25c

Question 5

A canoe rental service charges a $20 transportation fee and $30 dollars an hour to rent a canoe. Write an equation representing the cost, y, of renting a canoe for x hours.

Accepted Answer

y = 20 + 30x

Answer

y = 30 + 20x

Answer

y = 50x

Answer

y = 60x

Question 6

What does "m" represent in y=mx+b?

Accepted Answer

slope

Answer

y-intercept

Answer

macaroni

Answer

nothing

Question 7

If m=3 and b=6, what is the correct slope intercept equation?

Accepted Answer

y=3x+6

Answer

y=3-6

Answer

y=3x-6

Answer

y=6x+3

Question 8

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

Accepted Answer

y = 1.50x + 4

Answer

y = 4x + 1.50

Question 9

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days.

Accepted Answer

L = 34 - 0.5(d)

Answer

L = 34(d) - 0.5

Answer

d = 34 - 0.5(L)

Question 10

You and your friends plan to attend the State fair this weekend.  Admission to the fair is $5 and the cost per rid is $0.50.  How many rides can you go on if you have $20.

Accepted Answer

30 rides

Answer

20 rides

Question 11

At Eagle Bay, it costs $10 per hour to rent a canoe.  Nick and his friends rented a canoe for 3 hours and paid $45.  Write and solve a linear equation to find the cost to rent the canoe for 7 hours.

Accepted Answer

85

Answer

95

Question 12

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

Accepted Answer

C = 0.20x + 15

Answer

C =15 (0.20x)

Answer

C = 15 + x + 0.20

Answer

C = 0.20 + 15x

Question 13

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.

Accepted Answer

y = 0.75x + 35

Answer

y = x(35 + 0.75)

Answer

y = 35x + 0.75

Answer

y = 0.75(x + 35)

Question 14

Bob has $150 in his savings account and saves $40 per month.

Accepted Answer

y = 40x + 150

Answer

y = 150 + 40

Answer

y = 150x + 40

Question 15

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the initial value?

Accepted Answer

$100

Answer

$35

Answer

$135

Answer

$65

Question 16

An internet company charges a $100 set up fee, and then they charge $35 a month after that.  What is the rate of change?

Accepted Answer

$35

Answer

$100

Answer

$135

Answer

$65

Question 17

In order to join a dancing club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation. After how many months will the total cost be $58?

Accepted Answer

7 months

Answer

6 months

Answer

5 months

Answer

4 months

Question 18

Evan is going to the 50th state fair this weekend. It costs $10 to enter and each ride is $2.

Create a linear function that could be used to determine how many "x" rides Evan can go on.

Accepted Answer

y = 2x + 10

Answer

y = 10x + 2

Question 19

At Waimea Bay, it costs $1 per hour to park at the church. Nate and his friends parked their car at Waimea bay for 5 hours and paid $5.

Create a linear equation to find the cost to rent the canoe for "x" amount of hours.

What does "x" represent?

Accepted Answer

amount of hours

Answer

total cost to park at Waimea Bay

Question 20

Bruno Mars tickets are the same price. If John orders 5 tickets and pays $93. And Jack orders 3 tickets and pays $57.

Write a linear function that could be used to determine the cost of "x" amount of tickets.

Accepted Answer

y = 18x + 3

Answer

y = 5x + 93

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