Question

To get the 10% discount, a shopper must spend at least $400.

Use d to represent the spending (in dollars) of a shopper who gets the discount.

Answer 1

The shopper must spend at least $444.44 to get the 10% discount.

Explanation:

If a shopper gets a 10% discount, it means they pay only 90% of the original price. Let's say the original spending is represented by x. Then the spending after the 10% discount would be:

d = 0.9x

Now, we know that the shopper must spend at least $400 to get the discount, so we can set up an inequality:

d ≥ 400

Substituting the expression we found for d, we get:

0.9x ≥ 400

Dividing both sides by 0.9, we get:

x ≥ 444.44

So the shopper must spend at least $444.44 to get the 10% discount.