c)

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 is:

T = 50x

To represent your total earnings, T, based on the price of your cake and the number of cakes you sell, you can use the equation:

T = 50x

Here, T represents the total earnings, x represents the number of cakes you sell, and 50 represents the price per cake.

To write an equation representing your total earnings, T, based on the price of your cake and the number of cakes you sell, you can use the formula:

T = x * p

Where:
T is the total earnings,
x is the number of cakes you sell, and
p is the price of each cake.

In this case, the price of each cake is $50, so the equation becomes:

T = 50x

So, if you sell, for example, 10 cakes, you can determine your total earnings by substituting x with 10:

T = 50 * 10
T = 500

Therefore, if you sell 10 cakes, your total earnings will be $500.