Question

, Natasha worked 7 hours at a diner for $10 per hour last week. She also makes $8 per hour when she babysits. She wants $206 for a prom dress. Create an inequality to show how many hours she must babysit.

Answer 1

Answer: x ≥ 17

Explanation:

We know that she worked 7 hours at a dinner, for $10 per hour last week.

Then in the last week, she did make:

7*$10 = $70

Now she babysits, she wins $8 per hour, then if she works x hours, she will win:

w(x) = $8*x

if we add the $70 that she already had, we have:

$70 + $8*x

And we know that she wants to have, at least, $206, then we can write the inequality.

$70 + $8*x ≥ $206.

Now let's solve this for x.

first, we can subtract $70 in both sides:

($70 + $8*x) - $70 ≥ $206 - $70

$8*x ≥ $136

now we can divide by $8 in both sides:

($8*x)/$8 ≥ $136/$8

x ≥ 17

This means that she must babysit for at least 17 hours if she wants to buy the dress.