Question

I been working on this for 2 and a half hours and its do at 11:59 pm but i want it done now. The question says , A stack of nested paper cups is 8 inches tall. The first cup is 4 inches tall and each of the rest of the cups in the stack adds 0.25 inches to the height of the stack. But i need the equation not the number of cups.

Answer 1

Answer:

h= 0.25c +4

Step-by-step explanation:

➀ Define variables

Assuming that you are asking for the equation representing the height of the stack, let's start by letting the height of the stack be h inches and the number of cups be c.

➁ Find the increase in height with every additional cup

If an additional cup is stacked on the first cup, the height increment is 0.25 inches. When 2 cups are added, the height increment is 2(0.25)= 0.5 inches. Thus the expression for the increase in height is 0.25c, where c is the number of cups as we have already defined in step 1.

➂ Find the total height of the stack

Since the height of the first cup remains constant at 4 inches tall, the total height of the stack can be represented by the equation:

h= 0.25c +4