Question

Meredith needs $399 to buy a tablet computer. She wants to earn enough money babysitting to cover at least half of the cost. (hint half ......means .5 or 1/2)

PART A: If she earns $8 an hour babysitting, write an inequality that can be used to solve for b, the number of hours she must babysit.
a) Write the inequality for the number of hours Meredith must babysit.

8b ≤ 399
8b ≥ 399
8b = 399
8b + 399

Answer 1

The inequality that represents the number of hours Meredith must babysit to earn at least half the cost of the tablet is 8b ≥ 199.50, where she earns $8 per hour and the tablet costs $399.

Step-by-step explanation:

Meredith wants to buy a tablet computer for $399 and needs to earn at least half of the cost by babysitting. If Meredith earns $8 per hour for babysitting, we need to find the inequality that represents the number of hours b she must babysit. Considering that half of the cost is $399/2, which equals $199.50, Meredith needs to earn at least this amount to cover half the cost of the tablet.

The correct inequality to solve for b, the number of hours Meredith must babysit to earn at least half the cost of the tablet, is:

8b ≥ 199.50

This inequality states that the amount Meredith earns from babysitting (8 dollars per hour multiplied by the number of hours b) must be greater than or equal to $199.50.