<span>The table to represent a linear function with a rate of change of +5
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so, m = 13 + 5 = 18
The correct answer is option 3 ⇒ <span>m = 18
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another solution :
The table represents a linear function
the general equation of the linear function is ⇒ y = ax+b
where a is the slope and b is constant
By using the first and the third points from table to find the equation of the linear function
at x = 3 ⇒ y = 13 and at x = 5 ⇒ y = 23
∴ 13 = 3a+b → (1)
23 = 5a+b → (2)
solve (1) and (2) to find a and b
So, a = 5 and b = -2
∴ y = 5x - 2
After that by substitution with x = 4 int the equation of y
∴ y = 5*4-2 = 18
∴ m = 18
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You'll do the (whole)(outside)= (whole)(outside) so, set it up like this: (5+3)3= (x+4)4now work it out with PEMDAS: 15+9=4x+16combine like terms: 24= 4x+16subtract the 16 from each side: 8=4xlastly, divide by 4 on each side to get x=2
got this from someone who answered this for me
