Mason is 50 inches tall and is growing at the rate of
inch per month. Owen is 47 inches tall and is growing at the rate of

Inch per month. If they continue to grow at these rates for the next four years, in how many months will they be the same height?
A)24 months
B)30 months
C)36 months
D)42 months

Question

Mason is 50 inches tall and is growing at the rate of 
 inch per month. Owen is 47 inches tall and is growing at the rate of 
 
Inch per month. If they continue to grow at these rates for the next four years, in how many months will they be the same height?
A)24 months 
B)30 months 
C)36 months 
D)42 months

Quizplus · Accepted Answer

First, we need to determine how much taller Mason is than Owen:

Mason's current height = 50 inches 
Owen's current height = 47 inches 
Difference = 50 - 47 = 3 inches

Now, we need to figure out how many months it will take for Owen to grow 3 inches taller than Mason:

Let x be the number of months 
Mason's height after x months = 50 + 11x 
Owen's height after x months = 47 + 10x

Set the two equations equal to each other and solve for x:

50 + 11x = 47 + 10x 
x = 3

Therefore, it will take 3 months for Owen to grow 3 inches taller than Mason.

Since they will continue growing at their respective rates for 4 years (which is 48 months), we need to see how many times 3 months fits into 48 months:

48 months / 3 months = 16

So, in 16 intervals of 3 months, or 48 months total, they will be the same height.

Therefore, the answer is C) 36 months.

Mason Is 50 Inches Tall and Is Growing at the Rate