Math

Question Fill in the table using the linear function y=5x2y=5x-2.

Studdy Solution

STEP 1

Assumptions1. The function rule is y=5xy=5x- . We need to find the values of yy for xx values of -,0,, and4

STEP 2

The function rule tells us that for any value of xx, we can find the corresponding value of yy by multiplying xx by5 and then subtracting2.y=5x2y =5x -2

STEP 3

Let's start by finding the value of yy when xx is -2.y=5(2)2y =5(-2) -2

STEP 4

Calculate the value of yy when xx is -2.
y=102=12y = -10 -2 = -12So, when xx is -2, yy is -12.

STEP 5

Next, let's find the value of yy when xx is0.
y=5(0)2y =5(0) -2

STEP 6

Calculate the value of yy when xx is0.
y=02=2y =0 -2 = -2So, when xx is0, yy is -2.

STEP 7

Now, let's find the value of yy when xx is2.
y=5(2)2y =5(2) -2

STEP 8

Calculate the value of yy when xx is2.
y=102=8y =10 -2 =8So, when xx is2, yy is8.

STEP 9

Finally, let's find the value of yy when xx is4.
y=5(4)2y =5(4) -2

STEP 10

Calculate the value of yy when xx is4.
y=202=18y =20 -2 =18So, when xx is4, yy is18.
The completed table is\begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-2 & -12 \\ \hline0 & -2 \\ \hline2 &8 \\ \hline4 &18 \\ \hline\end{tabular}

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