Question

reasoning each month, a shopkeeper spends 5x + 14 dollars on rent and electricity. if she spends 3x - 7 dollars on rent, how much does she spend on electricity? use pencil and paper. for which value(s) of x is the amount the shopkeeper spends on electricity less than $100? explain how you found the value(s). she spends dollars on electricity (simplify your answer)

Explanation:

Step1: Set up the expression for electricity cost

Let the cost of electricity be \(E\). We know that total cost (rent + electricity) is \(5x + 14\) and rent cost is \(3x-7\). So, \(E=(5x + 14)-(3x - 7)\).

Step2: Simplify the expression

$$
LATEXBLOCK0
$$

Answer:

\(2x + 21\)