contestada

X
10
11
12
lads thi
y
27
a
11
48:37
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

Respuesta :

Given

[tex]\begin{gathered} m=-8 \\ m=rate\text{ of change} \end{gathered}[/tex]

To Determine: The value of a

Solution

[tex]\begin{gathered} x=10,y=27 \\ x=11,y=a \\ x=12,y=11 \end{gathered}[/tex]

The rate of change can be determine by the formula below

[tex]rate-of-change=\frac{y_2-y_1}{x_2-x_1}[/tex]

Since the rate of change is -8

Then

[tex]\begin{gathered} \frac{a-27}{11-10}=-8 \\ \frac{a-27}{1}=-8 \\ a-27=-8 \\ a=-8+27 \\ a=21 \end{gathered}[/tex]

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