SOLUTION: Anna weighed 25pounds at the age of three; at the age of five, she weighed 36 pounds. Assume the relationship between age and weight is linear. Let t be Anna’s ag

Question 1144805: Anna weighed
25pounds at the age of three;
at the age of five, she weighed 36 pounds.
Assume the relationship between age and weight is linear.
Let t be Anna’s age in years.
a) Find the linear equation relating weight to age.
b) What should Anna weigh when she is eight years of age
c) y−intercept: ( , ). Verbally interpret.
d) Slope = ________. Verbally interpret.

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Anna weighed
25pounds at the age of three;
at the age of five, she weighed 36 pounds.
Assume the relationship between age and weight is linear.
Let t be Anna’s age in years.
:
let y = her weight at t yrs
assign the given values at follows:
t1 = 3; y1 = 25
t2 = 5; y2 = 36
Find the slope; m = = is the slope or
m = 5.5
a) Find the linear equation relating weight to age.
Using the point/slope equation
y - 25 = 5.5(t - 3)
y - 25 = 5.5t - 16.5
y = 5.5t - 16.5 + 25
y = 5.5t + 8.5 is the equation
b) What should Anna weigh when she is eight years of age
y = 5.5(8) + 8.5
y = 44 + 8.5
y = 52.5 lb at age 8
c) y−intercept: ( , ). Verbally interpret.
When she was born, t=0, she weighs 8.5 lb
d) Slope = ________. Verbally interpret.
m = 5.5 or 11/2, she gains 11 lb every 2 yrs

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