Problema Solution
The height and weight of the students at Don Fernando Elementary School are linearly related. If student A is 130 centimeters tall and weighs 35 kilograms and student B is 122 centimeters tall and weighs 29 kilograms, then how much would student C weigh if he or she is 150 centimeter tall?
Answer provided by our tutors
The height and weight of the students at Don Fernando Elementary School are linearly related
y = a*x + b where y=height, x=weight, a,b= constant
first we need to find a and b
Student A
130 = 35a + b
Student B
122 = 29a + b
by solving the system of equations
130 = 35a + b
122 = 29a + b
we find
a = 4/3
b = 250/3
the linear equation is
y = 4x/3 + 250/3
if y = 150 we need to find x
150 = 4x/3 + 250/3
by solving we find
x = 50 kg
the weight for student C is 50 kilograms.