Question

ryan mows lawns in the summer. he charges $15 for every hour of mowing. this is represented by the equation ( y = 15x ), where ( y ) is the total amount ryan charges and ( x ) is the number of hours mowing. if mr. smith’s lawn takes 2 hours to mow and mrs. jones’s lawn takes 3.5 hours to mow, how much more would ryan charge mrs. jones than mr. smith? (3 pts)

Explanation:

Step1: Calculate charge for Mr. Smith

Substitute $x=2$ into $y=15x$:
$y_{\text{Smith}} = 15 \times 2 = 30$

Step2: Calculate charge for Mrs. Jones

Substitute $x=3.5$ into $y=15x$:
$y_{\text{Jones}} = 15 \times 3.5 = 52.5$

Step3: Find the price difference

Subtract the two charges:
$y_{\text{Jones}} - y_{\text{Smith}} = 52.5 - 30 = 22.5$

Answer:

$\$22.50$