The table A is the correct option.
Further explanation:
The linear equation with slope m and y-intercept c is given as follows.
[tex]\boxed{y = mx + c}[/tex]
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,
[tex]y = 5x + 20[/tex] …... (1)
The table can be obtained as follows,
Substitute [tex]- 4[/tex] for x in equation (1) to obtain the value of y.
[tex]\begin{aligned}y &= 5 \times \left({ - 4} \right) + 20\\&=- 20 + 20\\&= 0\\\end{aligned}[/tex]
Substitute 0 for x in equation (1) to obtain the value of y.
[tex]\begin{aligned}y&= 5 \times \left( 0 \right) + 20\\&= 0 + 20\\&= 20\\\end{aligned}[/tex]
Substitute 4 for x in equation (1) to obtain the value of y.
[tex]\begin{aligned}y&=5 \times \left( 4 \right) + 20\\&= 20 + 20\\&= 40\\\end{aligned}[/tex]
Substitute 8 for x in equation (1) to obtain the value of y.
[tex]\begin{aligned}y&= 5\times \left( 8 \right) + 20\\&= 40 + 20\\&= 60\\\end{aligned}[/tex]
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 https://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.
