Suppose the value of y and the value of x vary together at a constant rate of change (so that Δy = 0.75. Δx ), and y = 1.5 when x = 3 .a. What is the constant rate of change of y with respect to x?b. Write a formula that expresses y in terms of x.c. What is the value of y when x=103?

Respuesta :

Answer:

a. 0.75

b. y = 0.75 x - 0.75

c. 76.5

Step-by-step 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

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