Question

You want to start a bakery business to earn money. The total amount of money you will invest is $10,000. You will be selling cakes. It will cost you $14 to make each cake.

You plan to sell each cake for $50. Write an equation that represents your total earnings, T, based on the price of your cake and how many you sell. Let x represent the number of cakes you sell.

* Use T and x as your variables

Answer 1

The equation that represents your total earnings, T, based on the price of your cake and how many you sell is:

T = 50x - 14x

Explanation:
- We know that each cake is sold for $50 and it costs $14 to make each cake. Thus, for each cake sold, you will earn $50 - $14 = $36.
- The variable x represents the number of cakes you sell.
- To calculate your total earnings, T, you multiply the earnings per cake ($36) by the number of cakes sold (x), giving T = 36x.
- Therefore, the equation that represents your total earnings, T, is T = 50x - 14x, which simplifies to T = 36x.