Suppose
f
is a linear function and
f
(
x
)
varies at a constant rate of change of 1.5 with respect to
x
. Suppose we know that
f
(
1.3
)
=
2.1
.

Suppose
x
varies from
x
=
1.3
to
x
=
1.5
...

How much did
x
change by?

Respuesta :

Answer:

0.2

Step-by-step explanation:

Given a linear function f(x) that varies at a constant rate of change 1.5 with respect to x, If x varies from x = 1.3 to x = 1.5, the to get the amount by which x change by, we will use the expression;

Δx = x₂-x₁

x₂  is the final value of x

x₁ is the initial value of x

Given x₁ = 1.3 and x₂ = 1.5

Substitute the values in the formula above;

Δx = x₂-x₁

Δx = 1.5 - 1.3

Δx = 0.2

Hence the value of x change by 0.2