Question

emilys family rents an electric car for a road trip to the grand canyon. the charge on the cars battery decreases as they drive. this situation can be modeled as a linear relationship. what does the y - intercept of the line tell you about the situation? after emilys family drives 60 miles, the batterys charge is 35 kilowatt - hours. the batterys charge decreases by 1 kilowatt - hour every 4 miles. the batterys charge is 50 kilowatt - hours before emilys family starts driving. emilys family drives 100 miles

Explanation:

In a linear relationship \(y = mx + b\), the \(y\)-intercept (\(b\)) is the value of \(y\) when \(x = 0\). Here, \(x\) represents the distance driven (in miles) and \(y\) represents the battery's charge (in kilowatt - hours). When \(x = 0\) (before driving starts), \(y=50\).

Answer:

The battery’s charge is 50 kilowatt - hours before Emily’s family starts driving.