Which inequality represents this situation?
Ari works h hours each day. He earns $21 per hour. Ari earns less than $150 a day. How many hours does he work each day?
a. 21h > 150
b.21 + h < 150
c.h/21 < 150
d.21h < 150
A shows that he earns more than 150 a day
B doesn't make sense
C -- why would you divide?
D is correct. 21 times the number of hours is less than 150.
thank you so much
The correct inequality that represents this situation is:
d. 21h < 150
Explanation:
Since Ari earns $21 per hour and earns less than $150 a day, the expression for the amount he earns in a day would be 21h, where h represents the number of hours he works each day. Ari's earnings in a day are less than $150, so the inequality is 21h < 150.
To find the correct inequality that represents this situation, we need to break down the given information.
1. Ari works h hours each day.
2. He earns $21 per hour.
3. Ari earns less than $150 a day.
From the given information, we can calculate the total amount Ari earns in a day by multiplying his hourly wage ($21) by the number of hours he works (h).
So, the total amount he earns in a day would be 21h.
Since we know that he earns less than $150 a day, we can write the inequality as:
21h < 150
Therefore, the correct answer is option d. 21h < 150.