Question

Which table represents a linear function that has a slope of 5 and a y-intercept of 20?

Answer 1

The table A is the correct option.

Further explanation:

The linear equation with slope m and y-intercept c is given as follows.

$\boxed{y = mx + c}$

Given:

The slope of the linear function is 5 and the y-intercept is 20.

Explanation:

The value of m is 5 and value of c is 20.

The linear function can be expressed as follows,

$y = 5x + 20$              …... (1)                                                                                        

The table can be obtained as follows,

Substitute $- 4$ for x in equation (1) to obtain the value of y.

$\begin{aligned}y &= 5 \times \left({ - 4} \right) + 20\\&=- 20 + 20\\&= 0\\\end{aligned}$

Substitute 0 for x in equation (1) to obtain the value of y.

$\begin{aligned}y&= 5 \times \left( 0 \right) + 20\\&= 0 + 20\\&= 20\\\end{aligned}$

Substitute 4 for x in equation (1) to obtain the value of y.

$\begin{aligned}y&=5 \times \left( 4 \right) + 20\\&= 20 + 20\\&= 40\\\end{aligned}$

Substitute 8 for x in equation (1) to obtain the value of y.

$\begin{aligned}y&= 5\times \left( 8 \right) + 20\\&= 40 + 20\\&= 60\\\end{aligned}$

The table A is the correct option.

Kindly refer to the table attached.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers, slope, slope intercept, equation, linear equation, shaded region, y-intercept, graph, representation, origin, linear function.

Answer 2

Answer:

The table in the attached figure

Step-by-step explanation:

we know that

The equation of a line into slope-intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem we have

$m=5$

$b=20$

the equation is equal to

$y=5x+20$

Construct the table

a) For $x=-4$

Find the value of y

$y=5(-4)+20=0$

b) For $x=0$

Find the value of y

$y=5(0)+20=20$

c) For $x=4$

Find the value of y

$y=5(4)+20=40$

d) For $x=8$

Find the value of y

$y=5(8)+20=60$

The table in the attached figure