Question

a cup is 6.4 cm tall, not including the 0.6 cm lip. cups are stacked inside one another. select the function that represents the height of the stack of cups in terms of the number of cups in the stack

Answer 1

Answer: 20

H(c) = 6.4 + 0.6c

6.4 is the constant.

When the height of the cups is 18.4 the function is:

18.4 = 6.4 + 0.6c

Then, you add 6.4 from both sides

18.4 - 6.4 + 6.4 = 6.4 + 0.6c - 6.4  + 6.4

Simplify

18.4 = 6.4 + 0.6c

Switch sides

6.4 + 0.6c = 18.4

Multiply both sides by 10

6.4 x 10 + 0.6c x 10 = 18.4 x 10

Refine

64 + 6c = 184

Subtract 64 from both sides

64 + 6c - 64 = 184 - 64

Simplify

6c = 120

Divide both sides by 6

6c/6 = 120/6

c = 20