Question

Anderson's Entertainment Bus Company charges a $19.95
flat rate for a party bus. In addition to that, they charge $1.75
per mile. Chenelle has no more than $300
to spend on the party bus. At most, how many miles can Chenelle travel without exceeding her spending limit?
157
165
156
160

Answer 1

To determine how many miles Chenelle can travel without exceeding her spending limit of $300, we can set up the following equation based on the costs provided:

Let \( x \) be the number of miles traveled.

The total cost for the party bus can be expressed as:
\[
\text{Total Cost} = \text{Flat Rate} + (\text{Cost per Mile} \times \text{Miles})
\]
This translates into the equation:
\[
19.95 + 1.75x \leq 300
\]

Now, we will solve for \( x \):

1. Subtract the flat rate from both sides:
\[
1.75x \leq 300 - 19.95
\]
\[
1.75x \leq 280.05
\]

2. Divide by 1.75:
\[
x \leq \frac{280.05}{1.75}
\]

Calculating the right side:
\[
x \leq 160.03
\]

Since \( x \) must be a whole number (as you cannot travel a fraction of a mile in this context), we round down to the nearest whole number. Thus,
\[
x \leq 160
\]

Therefore, at most, Chenelle can travel **160 miles** without exceeding her spending limit.

So the answer is **160**.