Question

This graph shows how the time required to complete an online shopping transaction is related to the number of products being purchased.

y
x
10
20
30
40
50
60
70
80
90
100
10
20
30
40
50
60
70
80
90
100
0
Time (seconds)
Products being purchased
Online shopping


What is the rate of change?

Write your answer as a decimal or integer.

seconds per product

Answer 1

1 product

Explanation:

Given the equation that shows how the time required to complete an online shopping transaction is related to the number of products being purchased as;

t = 24p + 27

t represents the time required to complete the transaction

p is the product purchased

If it takes 51 seconds to complete a transaction, to get the amount of product purchased, we will substitute t = 51 into the expression and find p as shown;

51 = 24p + 27

Substract 27 from both sides

51-27 = 24p + 27 - 27

24 = 24p

24p= 24

p = 24/24

p = 1

Hence only 1 product is being purchased