Question

f. arya plans to go to the check out of the grocery store 45 minutes after she arrives. on average, she spends 5 minutes shopping in each aisle. the function h(x) = 45 - 5x represents the total number of minutes arya has left to spend in the store after visiting x aisles.

1. evaluate h(4). what does your answer represent in the context of the situation?

h(4) = 45 - 5x

Explanation:

Step1: Substitute \(x = 4\) into the function

Given \(h(x)=45 - 5x\), when \(x = 4\), we have \(h(4)=45-5\times4\).

Step2: Calculate the value

First, calculate \(5\times4 = 20\). Then \(h(4)=45 - 20\).

Step3: Get the final result

\(h(4)=25\). In the context, since \(h(x)\) represents the total number of minutes Arya has left to spend in the store after visiting \(x\) aisles, \(h(4) = 25\) means Arya has 25 minutes left to spend in the grocery store after visiting 4 aisles.

Answer:

\(h(4)=25\), which means Arya has 25 minutes left to spend in the grocery store after visiting 4 aisles.