The number of push-ups (p) must be greater than or equal to 12: p >= 12. This ensures the price with NutriMart discount is less than or equal to online price.
Let's set up two variables to represent the price of the vitamins at NutriMart and online:
nutrimart_price: This variable will hold the price of the vitamins at NutriMart, which is regularly $25.99.
online_price: This variable will hold the price of the vitamins online, which is $19.99.
We also know that NutriMart will take $0.50 off the price for each push-up you do in the store. We can represent the number of push-ups you do as the variable p.
Now, we can set up an inequality to find the number of push-ups (p) you would have to do for NutriMart's special to be a better deal than buying the vitamins online. Here's the inequality:
nutrimart_price - discount for push-ups <= online_price
Here's what each part of the inequality means:
nutrimart_price: This represents the regular price of the vitamins at NutriMart, which is $25.99.
discount for push-ups: This represents the amount of money you save by doing push-ups. We can calculate this by multiplying the number of push-ups (p) by the discount per push-up ($0.50).
online_price: This represents the price of the vitamins online, which is $19.99.
So, the inequality essentially says that the price you pay at NutriMart after the discount for push-ups must be less than or equal to the price you pay online.
Let's plug in the values:
25.99 - 0.5p <= 19.99
Now, we can solve for p:
-0.5p <= -6
p >= 12
Therefore, the inequality p >= 12 could be used to determine the number of push-ups you would have to do for NutriMart's special to be a better deal than buying the vitamins online.