Question

Carly is analyzing a relationship between the profit she makes and the number of candles she sells at her local shop. When she sells 2 candles, her profit is $3.00. When she sells 4 candles, her profit is $6.00. She records this data as the points (2.3) and (4.6). What is the equation that represts the relationship between her profit and the number of candles she sells?​

Answer 1

profit = $1.50 × (candles sold)

Explanation:

Doubling the number of candles sold doubles Carly's profit, so the relationship is proportional. Either data point can be used to find the profit per candle:

$3.00/(2 candles = $6.00/(4 candles) = $1.50/candle

This is the "rate of change" in the equation we want. Multiplying this value by the number of candles sold will give the profit from the sales.

profit = (profit per candle) × (number of candles sold)

profit = $1.50 × (number of candles sold)