Final answer:
To determine the better deal, we compare the cost of renting for 90 minutes plus additional time to renting for the whole day. We set up an inequality and solve for the range of minutes when the all-day rental would be the better deal. The answer is 220 minutes (D).
Step-by-step explanation:
In order to determine when the all-day rental would be a better deal, we need to compare the costs of renting for 90 minutes plus additional time versus renting for the whole day.
Let's calculate the cost for renting the truck for 90 minutes plus additional time:
- We know that the cost for the first 90 minutes is $19.
- For every 15 minutes thereafter, the cost is $5.
- Let's assume that Victor needs the truck for x minutes beyond the initial 90 minutes.
- The cost for additional time can be calculated using the equation: $5 * (x / 15).
- The total cost for renting for 90 minutes plus additional time would be: $19 + $5 * (x / 15).
Now let's calculate the cost for renting the truck for the whole day: $89.
In order for the all-day rental ($89) to be the better deal, the total cost for renting for 90 minutes plus additional time would need to be greater than $89. So, we can set up the inequality: $19 + $5 * (x / 15) > $89.
Solving this inequality will give us the range of values for x, which represents the number of minutes Victor would need to use the truck in order for the all-day rental to be the better deal.
If you solve the inequality, you will find that x > 176. Therefore, Victor would need to use the truck for more than 176 minutes for the all-day rental to be the better deal. This is equivalent to 176 + 90 = 266 minutes. So, the answer is 220 minutes (D).