Problema Solution
liam is 6 years old and is 38 inches tall. he's growing at a constant rate of 2 inches per year. elliott is 3 years old and is 30 inches talk. elliott is growing at a constant rate of 2.25 inches per year. how tall will liam be when he's 9 years old? how old will elliott be when he reaches 38 inches in heighr? how old will elliott be when he's as tall as liam?
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liam is 6 years old and is 38 inches tall. he's growing at a constant rate of 2 inches per year. the equation describing the height of lian is:
y = 38 + 2(x - 6), where x is the number of year of liam
elliott is 3 years old and is 30 inches tall. elliott is growing at a constant rate of 2.25 inches per year. the equation describing the height of elliott is:
y = 30 + 2.25(x - 3), where x is the number of years of elliott
how tall will liam be when he's 9 years old?
x = 9
y = 38 + 2(x - 6)
y = 38 + 2(9 - 6)
y = 44 in
Liam will be 44 inches tall when he is 9 years old.
how old will elliott be when he reaches 38 inches in height?
y = 38 in
y = 30 + 2.25(x - 3)
38 = 30 + 2.25(x - 3)
by solving we find:
x = 6.56 years
click here to see the step by step solution of the equation:
how old will elliott be when he's as tall as liam?
38 + 2(t - 6) = 30 + 2.25(t - 3 - 3)
by solving we find:
t = 38 years
click here to see the step by step solution of the equation:
elliot will be 38 - 3 = 35 years old, liam will be 38 years old
indeed when elliot is 35 years old his height will be: 30 + 2.25*(35-3) = 102 in
liam will than be 38 (he is 3 years olnder) and his height will be: 38 + 2*(38 - 6) = 102 in.