Question

The ketchup dispenser in the kitchen at a fast-food restaurant accurately dispenses 0.5 fluid ounces of ketchup onto each burger being made. the dispenser holds 500 fluid ounces, enough to make 1,000 burgers. the function v(b) represents the volume of ketchup, in fluid ounces, remaining in the dispenser after b burgers are made?

a) V(b) = 500 - 0.5b
b) V(b) = 0.5b - 500
c) V(b) = 500 + 0.5b
d) V(b) = 0.5b / 500

Answer 1

The correct function that represents the volume of ketchup remaining in the dispenser after b burgers are made is V(b) = 500 - 0.5b.

Step-by-step explanation:

The correct function that represents the volume of ketchup remaining in the dispenser after b burgers are made is V(b) = 500 - 0.5b.

We know that the dispenser initially holds 500 fluid ounces, enough to make 1,000 burgers. Each burger dispenses 0.5 fluid ounces of ketchup. So, for every burger made, the volume of ketchup remaining decreases by 0.5 fluid ounces.

Therefore, the volume of ketchup remaining in the dispenser after b burgers are made is given by subtracting 0.5b from the initial volume of 500:

V(b) = 500 - 0.5b