plan a cosys $150 for the semester and charge $4 per meal. plan b no membership fee but charges $7 per meal.

find a formula for the total cost of food,c, for someone who eats n meals on plan a for one semester?

for what number of meals do both plans cost the same amount?

Solution:

Plan a: total cost = $150 + $4*n

So c = 150 + 4n

Plan b: total cost = $7*n

So c = 7n

150 + 4n = 7n

n=50

So

if n=50, both plans cost the same amount