contestada

53.20
In order for the data in the table to represent a linear function
with a rate of change of +5, what must be the value of a?
O a = 3
O a = 8
O a = 18
O
a = 33

5320 In order for the data in the table to represent a linear function with a rate of change of 5 what must be the value of a O a 3 O a 8 O a 18 O a 33 class=

Respuesta :

JeanaShupp

Answer:  a=8

Step-by-step explanation:

The rate of change of function is given by :-

[tex]k=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

For , linear function, the rate of change of function remains constant.

From, x=3 and x=4, we have

[tex]k=\dfrac{a-13}{4-3}[/tex]

Since , the rate of change k= +5   (given)

Then, [tex]5=\dfrac{a-13}{4-3}[/tex]

[tex]\Rightarrow\ a-3=5\\\\ a=3+5=8[/tex]

Hence, the value of a is 8.

Answer: 8

Step-by-step explanation:

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