Answer:
a. 0.75
b. y = 0.75 x - 0.75
c. 76.5
Explanation:
a. What is the constant rate of change of y with respect to x?
We know that the value of y and the value of x vary together at a constant rate of change so that Δy = 0.75. Δx. Then, the rate of change is:
Δy / Δy = 0.75
b. Write a formula that expresses y in terms of x.
The formula of the linear expression that relates x and y is:
y = 0.75 x + b
where,
0.75 y the slope
b is the intercept
We know that when x = 3, y = 1.5. Then,
1.5 = 0.75 . 3 + b
b = -0.75
The resulting formula is
y = 0.75 x - 0.75
c. What is the value of y when x = 103?
When x = 103
y = 0.75 . 103 - 0.75
y = 76.5