Question

For children between ages 6 and 10, height y (in inches) is frequently a linear function of age t (in years). The height of a certain child is 45 inches at age 6 and 47.5 inches at age 7.

Answer 1

Slope formula
m=(47.4-45)/(7-6)=2.5/1=2.5
point slope from a line, y-y1=m(x-x1)
y-45=2.5(t-6)
y-48=2.5t-15
y=2.5t+33
what is the height y when the age t is 10
H=2.5(10)+33
H=25+33=58inches