A local pizza restaurant offers a gold card for loyal customers. The gold card costs $25 for a year. With a gold card, each large pizza is a discounted cost of $12. If customers don’t have a gold card, a large pizza costs $18. How many pizzas must you purchase in a year for the gold card to be cheaper?

5 pizzas

Step-by-step explanation:

18-12=6 each pizza with card saves 6$

$25 card cost÷$6 savings per pizza=4.16 pizza to break even. round up since cant buy fraction of pizza.

check

5 pizza with card 12 *5=60

60 + 25 = 85 spent in total

$5 *$18 = $90, no discount

4 pizza would be 73 with discount and 72 without

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.