An equipment rental company charges a flat rate of $24, plus $14 per day for Insurance. Karen has $ 155.

a) Write an inequality to represent the number of days, d, for which she can rent equipment.

Im confused if this equation is write:
14d + 24 ≤ 155

Yes, you're right.

Yes, the inequality you wrote is correct.

To explain, let's break it down.
The equipment rental company charges a flat rate of $24, regardless of the number of days. So we start with $24.
In addition to the flat rate, they charge $14 per day for insurance. To represent the cost of insurance for d days, we multiply $14 by the number of days, which gives us 14d.
To find the total amount Karen has to pay, we add the flat rate ($24) to the cost of insurance (14d).
Finally, since Karen has $155, we set up an inequality where the total cost of renting equipment (24 + 14d) is less than or equal to 155. Hence, the inequality is:

14d + 24 ≤ 155