Question

a pizza parlor charges $1 for each vegetable topping and $2 for each meat topping. you want at least five different toppings on your pizza. you have $10 to spend on toppings. which system of inequalities models this situation where v represents the number of vegetable toppings and m the meat toppings

Answer 1

Explanation:

Let v represents the number of vegetable toppings and m the meat toppings.

Since there must be at least five different toppings on your pizza, this can be represented by the inequality:

v + m ≥ 5

Also, the total amount of money available for the toppings is $10, and a pizza parlor charges $1 for each vegetable topping and $2 for each meat topping, this can be represented by the inequality:

v + 2m ≤ 10

Therefore the system of inequalities models this situation is:

v + m ≥ 5

v + 2m ≤ 10

v > 0, m > 0

Plotting the graph of v against m using geogebra graphing calculator produce the image attached below