Hello!
We need to get a number that is greater than or equal too 120. First of all, let's calculate the sales tax.
120(0.07)=8.4
120+8.4=128.4
This gives us the inequality below.
7.5w+44≥128.4
Now we solve like an equation.
7.5w≥84.4
84.4/7.5≈11.25
w≥11.25
As you can see, the only number greater than 11.25 is D) 12 weeks which is our answer.
I hope this helps!