How do you write an equation for this?

Question

You are opening a store and can buy either donuts or bagels. Your bagel supplier requires that you make a $200.00 initial payment to cover franchise fees and delivery costs for the rest of the school year. After that, you can buy as many bagels as desired at a cost of 12 cents per bagel. On the other hand, you can purchase donuts with no initial charge, at a cost of 30 cents each for the first 500 donuts, and 20 cents for each additional donut.

 

I understand that for bagels the equation would be y=0.12x+200

 

But I do not understand how to figure the different costs of the donuts. Please help!

 

Thank you!

Answer 1

your equation is correct.

 

For donuts, it cost .30(500) + .20(500 - x) where x is the total number of donuts

 

You can see that when x = 500, the second term drops out and you pay for the 500 donuts at 30 cents each