Question

the cost c (in dollars) of producing x cell phone cases is c = 2.6x + 10.9. the revenue r (in dollars) for selling x cell phone cases r = 6.98x. to calculate profit, subtract the cost from the revenue.
progress: 0/2
part 1 of 2
(a) write and simplify an equation for the profit p in terms of x.
p = \square

Explanation:

Step1: Recall profit formula

Profit \( P \) is revenue \( R \) minus cost \( C \), so \( P = R - C \).

Step2: Substitute \( R \) and \( C \)

Given \( R = 6.98x \) and \( C = 2.6x + 10.9 \), substitute into the formula: \( P = 6.98x - (2.6x + 10.9) \).

Step3: Simplify the expression

Distribute the negative sign: \( P = 6.98x - 2.6x - 10.9 \). Combine like terms: \( (6.98 - 2.6)x - 10.9 = 4.38x - 10.9 \).

Answer:

\( 4.38x - 10.9 \)