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 would be:

T = 50x

The equation that represents your total earnings, T, based on the price of each cake and the number of cakes you sell, with x representing the number of cakes sold, is:

T = 50x

To write an equation that represents your total earnings based on the price and quantity of cakes sold, we can use the formula:

T = x * p

Where:
T represents total earnings,
x represents the number of cakes sold, and
p represents the price of each cake.

In this case, since you plan to sell each cake for $50, the equation becomes:

T = x * 50

So, the equation representing your total earnings would be T = 50x.