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In order for the data in the table to represent a linear function
with a rate of change of 8, what must be the value of a?
a= 2
a=3
a = 19
a = 35

In order for the data in the table to represent a linear function with a rate of change of 8 what must be the value of a a 2 a3 a 19 a 35 class=

Respuesta :

upandover

We know the slope, or rate of change, is -8 because y decreases as x increases, and so we are looking for the y-intercept. This will help us to find a.

y = -8x + b

11 = -8(12) + b

11 = -96 + b

b = 107

y = -8x + 107

Now that we have our equation, we can plug in 11 for x and solve for y.

y = -8(11) + 107

y = -88 + 107

y = 19

The value of a is 19.

Hope this helps!! :)

The value of a will be 19. Option C is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

Slope(m) = -8

The standard equation is;

y=mx+c

y = -8x + b

11 = -8(12) + b

11 = -96 + b

b = 107

Substitute the obtained value:

y = -8x + 107

For row 2;

y = -8(11) + 107

y = -88 + 107

y = 19

Hence, the value of a is 19. Option C is correct.

To learn more about the linear equation refer :

https://brainly.com/question/11897796

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