Linear Function in Context

What type of slope the line represents in the graph shown?

• Negative Slope

• Positive Slope

• Undefined Slope

• Zero Slope

What does the slope represent in this context?

• The height of the screw head above the wood before Tanvir rotated the screwdriver

• The number of millimeters per rotation that the screw height changes

• The number of rotations it takes to change the screw head height by 111 millimeter

• The number of rotations it takes to get the screw into the wood.

What does the y-intercept represent in this context?

• The height of the screw head above the wood before Tanvir rotated the screwdriver

• The number of millimeters per rotation that the screw height changes

• The number of rotations it takes to change the screw head height by 111 millimeter

• The number of rotations it takes to get the screw into the wood.

What does the slope represent in this situation?

• The temperature starts at 35 degrees at 9 am.

• The temperatures rises 35 degrees per hour.

• The temperature rises 5 degrees per hour.

• The temperature rises 10 degrees per hour.

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

What does the slope represent in this situation?

• $40 per week spent on candy

• $1 spent every 2 weeks on buying candy

• $40 he started with before buying candy

• $2 spent per week to buy candy

What does the y-intercept represent?

• $40 lost buying candy

• 40 weeks of losing money by buying candy

• $40 in the saving account when he started buying candy

• $2 lost per week from savings to buy candy

What does the slope represent in this context?

• Hank gains 158 pounds per week.

• Hank has a starting weight of 158 pounds.

• Hanks gains 1.5 pounds per week.

• Hank loses 1.5 pound per week.