Question

. A town committee has a budget of $75 to spend on snacks for the volunteers participating in aclean-up day. The committeechairperson decides to purchase granola bars and at least 50 bottlesof water. Granola bars cost $.50 each, and bottles of water cost $.75 each. Write and graph asystem of linear inequalities for the number of bottles of water and the number of granola bars thatcan be purchased

Answer 1

Assume that the number of granola bars is x and the number of bottles is y

Since they decided to purchase at least 50 bottles

At least means greater than or equal, so

`x\ge50`

Since the cost of 1 bar = $0.50, then

The cost of all bars = 0.50x

Since the cost of 1 bottle = $0.75, then

The cost of all bottles = 0.75y

Since their budget is $75

They can not exceed that, then

`0.50x+0.75y\le75`

The solution will be in the common part of the two colors

The red represents the second inequality

The blue represents the first inequality