Explanation:
To find the number of miles in a day at which the rental costs for Company A and Company B are the same, we can set up an equation and solve for the variable.
Let's say the number of miles in a day is represented by "m".
For Company A, the rental cost is $120 per day plus $0.30 per mile. So the total cost for Company A can be calculated using the formula:
Total cost for Company A = $120 + ($0.30 * m)
For Company B, the rental cost is $0.60 per mile. So the total cost for Company B can be calculated using the formula:
Total cost for Company B = $0.60 * m
Now, we need to find the value of "m" at which the total costs for Company A and Company B are the same.
Setting up the equation:
$120 + ($0.30 * m) = $0.60 * m
Now, let's solve for "m" by isolating it on one side of the equation.
Subtracting $0.30 * m from both sides:
$120 = $0.30 * m + $0.60 * m
Combining like terms:
$120 = $0.90 * m
Dividing both sides by $0.90:
$120 / $0.90 = m
Calculating the value:
m = 133.33 (rounded to two decimal places)
Therefore, the rental costs for Company A and Company B are the same when the number of miles in a day is approximately 133.33 miles.
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