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

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.

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

T = 50x

Where:
T represents your total earnings
x represents the number of cakes you sell.

To write an equation that represents your total earnings based on the price of your cake and how many you sell, we can use the following equation:

T = Px

Where:
T represents your total earnings
P represents the price of the cake
x represents the number of cakes you sell

In this case, the price of your cake is $50, so we can substitute P with 50 in the equation:

T = 50x

Therefore, the equation that represents your total earnings is T = 50x.