At Uriah's coffee shop, the amount of ground coffee beans left in stock on a given days a function of the amount of coffee sold that day. If "c" is the number of cups of coffee sold, and "z(c)" is the number of ounces of ground coffee left in stock, then z(c)=50-c/7. How many cups of coffee will Uriah have sold when he runs out of ground coffee beans?

so you want z(c) = 0

0 = 50 - c/7
c/7 = 50
c = 350

thanks

To find the number of cups of coffee that Uriah will have sold when he runs out of ground coffee beans, we need to set the number of ounces of coffee left in stock equal to zero and solve for the number of cups of coffee sold.

Given the equation: z(c) = 50 - c/7, where z(c) represents the number of ounces of ground coffee left in stock and c represents the number of cups of coffee sold.

We can set z(c) = 0, and solve for c:

0 = 50 - c/7

To isolate c, we can start by subtracting 50 from both sides:

-50 = -c/7

Multiplying both sides by -7:

7*(-50) = c

-350 = c

Therefore, Uriah will have sold 350 cups of coffee when he runs out of ground coffee beans.