Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month. Her friend Kate’s hair is 16 inches long and grows at an average rate of ½ in per month. How many months will pass before the two friends have the same hair length?

Solution:

Let "x" be the number of months

Joni’s hair is 13 inches long and grows at an average rate of ⅔ in per month

Her friend Kate’s hair is 16 inches long and grows at an average rate of ½ in per month

For two friends to have the same hair length, eqn 1 must be equal to eqn 2

Thus 18 months will pass before the two friends have the same hair length

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5