Question

omar’s family is moving to another town. the equation $c = 0.59m + 154$ models the cost in dollars, $c$, of renting a moving truck from company a as a function of the number of miles, $m$, the family drives the truck. renting a moving truck from company b costs $99, plus $0.99 for each mile the family drives the truck. omar’s family plans to rent and drive a moving truck 120 miles. how much money will the family save by using company b rather than company a? use the number pad to enter your answer in the box. omars family will save $\boxed{}$ by using company b.

Explanation:

Step1: Calculate cost for Company A

For Company A, the cost equation is \( c = 0.59m + 154 \). Substitute \( m = 120 \):
\( c_A = 0.59 \times 120 + 154 \)
\( c_A = 70.8 + 154 = 224.8 \)

Step2: Calculate cost for Company B

For Company B, cost is \( \$99 + \$0.99 \) per mile. Substitute \( m = 120 \):
\( c_B = 99 + 0.99 \times 120 \)
\( c_B = 99 + 118.8 = 217.8 \)

Step3: Find savings

Subtract \( c_B \) from \( c_A \):
\( \text{Savings} = c_A - c_B = 224.8 - 217.8 = 7 \)

Answer:

7