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.
(a) Express y as a function of t.

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.
(a) Express y as a function of t.

anonymous · Answer

y=t+0.5?

campbell_st · Answer

so you have 2 data points (7, 47.5) and (6, 45)

do you know how to find the slope from 2 ordered pairs..?

anonymous · Answer

you have 2 points (6,46), (7,47.5)
it says its linear so you want to find equation of line
y=mx+b is standard form for line

slope = (y1-y2)/(x1-x2) 
slope = (47.5-46)/(7-6) = 1.5/1
y= 1.5x +b
46 = 1.5(6) +b 
46= 9 + b
b = 37 

eq: y = 1.5x +37

campbell_st · Answer

slight calculation error the point you've used should be (6, 45) not (6, 46)

anonymous · Answer

o right sorry my mistake slope should be (47.5 - 45)/(7-6) = 2.5
y = 2.5 + b
45 = 2.5(6) + b
b = 30
eq: y= 2.5x + 30

anonymous · Answer

tried that. didn't work

anonymous · Answer

2.5t+30 was the answer