Model Linear Function

Ms. Deppe has $150 in her savings account and saves $40 per month. Which equation represents the amount of money (y) Ms. Deppe has in her account as a function of (x) number of months?

• y=150+40

• y=150x+40

• y=40x+150

At the beginning of the summer, Jenna had saved $141. She will earn $32 per day of summer work. Which of the following equations represents how much money she will have, in all, if she spends nothing all summer as a function of the number of days she worked?

• y = 141-32x

• y = x + 141

• y = 32x + 141

• y = 141x + 32

Dominoes charges $6 per pizza. The delivery fee is $4. Write an equation to model this situation.

• y = -4x+6

• y = 6x+4

• y = 1/6x-4

• y = 64x

y= 80x + 125 models the amount of money (y) in the register after selling x tickets. How much money does she have in the register before selling any tickets?

• $125

• $80

• $205

• $45

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

• c = 26.94t

• c = 18.99t + 7.95

• t = 26.94c

• t = 18.99c + 7.95

Printer ink costs $16.89 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $4.25, no matter the number of cartridges purchased in a single order. 

 

Which linear function models the total cost, t, for a single order of c cartridges?

• c = 21.14t

• c = 16.89t + 4.25

• t = 21.14c

• t = 16.89c +4.25

A taxi company charges a flat fee of $3 plus $2 per mile driven. Write the function that represents the total cost (C) as a function of the number of miles driven (m). Then, interpret the rate of change and the initial value.

• C(m) = 2m + 3

• C(m) = 3m + 2

• C(m) = 4m + 1

• C(m) = 5m + 2

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

Where do you find the initial value on a graph?

• Where the graph touches the y-axis (x=0).

• Where the graph touches the x-axis (y=0)

• At the Origin

Find the slope using these two points: (24,6) (4,2)

• 5

• -5