The function f(n) = 7n + 96 represents Ryan's daily pay as a linear function of the number of deliveries he makes (n).
The slope of the function is 7, which means that Ryan's pay increases by 7 dollars for every one additional delivery.
Number of Deliveries Daily Pay (dollars)
0 96
5 145
10 194
The y-intercept of the function is 96, which represents Ryan's base pay, even if he makes no deliveries.
- For 5 deliveries, we can plug n = 5 into the function: f(5) = 7(5) + 96 = 145.
- For 10 deliveries, we can plug n = 10 into the function: f(10) = 7(10) + 96 = 194.
Additional insights:
This is a direct proportion, meaning the more deliveries Ryan makes, the more he earns, and their relationship can be represented by a straight line.
This function allows you to predict Ryan's pay for any number of deliveries. For example, to find his pay for 15 deliveries, you would calculate f(15) = 7(15) + 96 = 242.
Complete question
Ryan works for a delivery service. The function f(n) is used to calculate his daily pay, in dollars, on a day when he makes n deliveries. f(n)=7n+96 Use the function to complete the table shown.
Number of Deliveries Daily Pay (dollars)
0 _____
5 _____
____ 194