Question

The actual question is in the details?

A grocery store offers a 10% discount on your entire purchase when you spend more than $50. You have $117 to spend on groceries and the cost of the groceries in your cart is currently $50. The inequality 0.9(a+50)≤117 represents the cost a (in dollars) of groceries that you can add to your cart. Graph the solution of the inequality

Answer 1

Given `0.9(a+$50)<=$117`

Divide both sides by `0.9`

`0.9(a+$50)<=$117`

`a + $50 <= ($117)/0.9`

Subtract `$50` from both sides:

`a <= ($117)/0.9-$50`

`a <= $80`

Assuming that you do not want to take the groceries out of the cart, zero should be added as the lower bound:

`0 <= a <= $80`

I shall graph this on the number line for you.