laire needs to buy party favors for her friend's birthday party. Party Craze charges $3 per item and $7 for shipping. Party Time charges $5 per item and $4 for shipping.
Select which statements are true. Select all that apply.
A. The rate of change of both functions represent the price per item
B. The y-intercept of the function that represents Party Craze's cost is $7
C. The rate of change of the function that represents Party Time's cost is $4
D. Both situations represent linear functions
A. The rate of change of both functions represent the price per item - True. Both Party Craze and Party Time charge a certain amount per item, so the rate of change of their functions represents the price per item.
B. The y-intercept of the function that represents Party Craze's cost is $7 - True. Party Craze charges $7 for shipping, so the y-intercept of their cost function is $7.
C. The rate of change of the function that represents Party Time's cost is $4 - False. Party Time charges $4 for shipping, but the rate of change of their cost function represents the price per item, not the shipping cost.
D. Both situations represent linear functions - True. Both Party Craze and Party Time have a constant rate of change (price per item or shipping cost), which makes their cost functions linear.