Tina has a pet sitting business. She charges a flat service fee of $20, plus $20 per day for each animal. If one of her customers spent less than $100 on one animal, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
A.
$20x < $120
B.
$20x - $20 < $120
C.
$20x < $100
D.
$20x + $20 < $100
The answer is D. $20X+ $20 < $100
To solve this question, we need to use the given information about Tina's charges.
Tina charges a flat service fee of $20 plus $20 per day for each animal. If a customer spent less than $100 on one animal, we can set up an inequality to find the number of days the customer paid for pet sitting.
Let's break down the charges:
- The flat service fee of $20 is a one-time payment, so it remains constant and does not depend on the number of days.
- The per-day charge for each animal is $20.
Let's set up the inequality based on the given information:
The total charge for one animal would be $20 (flat service fee) + $20 (per-day charge) * x (number of days the customer paid for pet sitting).
We know that the customer spent less than $100 on one animal. So, we can write the inequality:
$20 + ($20 * x) < $100
Now, let's simplify this inequality:
$20 + $20x < $100
Therefore, the correct inequality that can be used to solve for x, the number of days the customer paid for pet sitting, is option D:
$20x + $20 < $100.