Answer:
$4.37 cash outlay
$29.37 total amount paid, partly with gift card
Step-by-step explanation:
The discount was ...
0.15 × $32.30 = $4.845 ≈ $4.85
So the price to which tax is added is ...
$32.30 -4.85 = $27.45
The amount of tax is 7% of this value, or ...
tax = $27.45 × 0.07 = $1.9215 ≈ $1.92
So, payment is made on the amount ...
$27.45 + 1.92 = $29.37
$29.37 is the total amount paid.
If $25 is paid using a gift card, then the cash outlay is $4.37.
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Usually only a single coupon can be applied to a given purchase. Since the 15% store discount exceeds the amount of the 5% coupon left at home, it makes more sense to claim the 15% store discount and save the 5% coupon for another time.
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<em>Alternate interpretation</em>
If, by some magic, both discounts could be applied, then the amount to be paid is $27.65, of which $2.65 exceeds the gift card amount. The calculation proceeds the same way, except that 20% is used instead of 15%.
then
(notice that as the values of x get smaller and smaller, the graph gets closer and closer to the line y=1);
then
(notice that as the values of x get larger and larger, the graph gets closer and closer to the line y=1).