Question

You have a budget of $40. You want to buy fruit and granola bars. Fruit costs $4 per pound, and the granola bars are $1 each. You need at least 20 granola bars. What combinations of fruit and granola bars can you buy? (systems of inequalities) Write an inequality representing the total cost of your purchase: Each pound of fruit costs $4. Write an expression that shows the total cost of the fruit. Then, write an expression that shows the total cost of the granola bars.

a) 4x+2y≤40
b) 0.9x+2y≤40
c) 0.9x+2y=40
d) 4x+y≥16

Answer 1

To represent the total cost of the purchase, use the inequality 4x + y ≤ 40, where x is the number of pounds of fruit and y is the number of granola bars.

Step-by-step explanation:

Let x represent the number of pounds of fruit and y represent the number of granola bars.

The total cost of the fruit can be calculated by multiplying the price per pound ($4) by the number of pounds (x), so the expression for the total cost of the fruit is 4x.

The total cost of the granola bars can be calculated by multiplying the price per bar ($1) by the number of bars (y), so the expression for the total cost of the granola bars is y.

The inequality representing the total cost of the purchase is 4x + y ≤ 40, which means the sum of the total cost of the fruit and the total cost of the granola bars must be less than or equal to the budget of $40.