Question

1. jayde wants to buy carnations for her mother. florist a charges $2 per carnation plus a $40 delivery fee. florist b charges $2.50 per carnation plus a $25 delivery fee. when is florist a less expensive?

Explanation:

Step1: Set up cost functions

Let $x$ be the number of carnations. Cost of Florist A, $C_A = 2x + 40$. Cost of Florist B, $C_B=2.5x + 25$.

Step2: Set up inequality

We want to find when $C_A

Step3: Solve the inequality

Subtract $2x$ from both sides: $40 < 0.5x+25$. Then subtract 25 from both sides: $15<0.5x$. Divide both sides by $0.5$: $x > 30$.

Answer:

When the number of carnations is more than 30.