Tina has a pet sitting business. She charges a flat service fee of $30, plus $15 per day for each animal. If one of her customers spent less than $150 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?
Jack walked from school to his house at a rate of 240 ft/min. His sister Jill left school 2 minutes after Jack, walking home at a rate of 360 ft/min. How long after Jack leaves school does Jill catch up to him?
30 + 15 x < 150
15 x < 120
x < 8
Jack walks time t
Jill walks time (t-2)
both walk distance d
d = 240 t
d = 360 (t-2)
so
240 t = 360 t - 720
120 t = 720
t = 72/12
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To determine the inequality that could be used to solve for the number of days the customer paid for pet sitting, let's break down the situation.
Tina charges a flat service fee of $30 plus $15 per day for each animal. If a customer spent less than $150 on one animal, it means the total amount paid for pet sitting services for one animal is less than $150.
Let's assume the customer paid for x days of pet sitting. The total cost for pet sitting services for one animal can be calculated as the sum of the flat service fee and the daily rate multiplied by the number of days: 30 + 15x.
If the customer spent less than $150 on one animal, we can write this as an inequality:
30 + 15x < 150
Simplifying the inequality, we have:
15x < 120
Dividing both sides by 15 to solve for x, we get:
x < 8
Therefore, the inequality that could be used to solve for the number of days the customer paid for pet sitting is x < 8.