Question

math - 8th grade
30 use the information given to answer the question.
a travel agent compares the total costs of two different car rental companies for upcoming trips, where each company charges an initial deposit and daily fee.

part b
how much more is the initial deposit at wheel away car rentals than drive - a - day car rentals?
a $25
b $50
c $75
d $100

Explanation:

Step1: Find initial deposit of Drive - A - Day

Let the linear equation for Drive - A - Day be \(y = mx + b\), where \(y\) is total cost, \(x\) is number of days, \(m\) is daily fee, and \(b\) is initial deposit.
Using two points \((2,235)\) and \((4,395)\):
Slope \(m=\frac{395 - 235}{4 - 2}=\frac{160}{2}=80\).
Substitute \(x = 2\), \(y = 235\), \(m = 80\) into \(y=mx + b\):
\(235=80\times2 + b\)
\(235 = 160 + b\)
\(b=235 - 160 = 75\). So initial deposit of Drive - A - Day is \(\$75\).

Step2: Find initial deposit of Wheel Away

From the graph, when \(x = 0\) (number of days = 0), the \(y\) - intercept (initial deposit) is \(\$100\) (since the line starts at \((0,100)\)).

Step3: Calculate the difference

Difference \(=100 - 75=\$25\).

Answer:

A. \$25