Question

At a baseball game, hot dogs cost $2.25 and drinks cost $1.75. The total cost, t, for h hot dogs and drinks can be described by the equation.

T=2.25h+1.75d

•a. Rewrite the equation to find d.

•b. Which properties allow you to isolate d?

•c. If Costas spent $18.25 and bought 5 hot dogs, how many drinks did he buy?

Answer 1

The answer is below

Explanation:

a) T=2.25h+1.75d

To rewrite the equation to find d, we have to make d the subject of the formula.

T=2.25h+1.75d

Subtract 2.25h from both sides:

T - 2.25h = 2.25h + 1.75d - 2.25h

1.75d = T - 2.25h

Divide both sides by 1.75

1.75d/1.75 = (T - 2.25h) / 1.75

d = (T - 2.25h) / 1.75

b) Additive property and law of division

c) The money spent (T) = $18.25 and the number of hot dogs (h) = 5. To get the number of drinks, substitute the value of h and T in the equation d = (T - 2.25h) / 1.75. Hence:

d = (T - 2.25h) / 1.75

d = (18.25 - 2.25(5)) / 1.75

d = (18.25 - 11.25) / 1.75 = 7 / 1.75

d = 4

The number of drinks that can be bought is 4