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Does the table represent a linear function? *

1. Yes
2.No

Does the table represent a linear function? * 1. Yes 2.No-example-1
User Akasha
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2 Answers

2 votes

Answer:

Yes

Explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!

m=1*(24+-1*15)/(8+-1*5) | add 24 to -15

m=1*9/(8+-1*5) | add 8 to -5

*m=1*9/(8+-5) | Divide 9 by 3

m=1*3

Calculate the y-axis intercept b by inserting:

General form of the linear function: f(x)=mx+b

Insert 3 for m, 5 for x and 15 for f(x).

| Multiply 3 by 5

15=3*5+1*b | Swap both sides of the equation.

1*b+15=15 | -15

1*b=0

So, the y-axis intercept is at 0

Therefore, the equation of the function is f(x)=3*x+0

User Edwin
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8.0k points
1 vote
Yes, the table represents a linear function
User Manuel Martinez
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7.6k points