Studdy AI Logo
Math  /  Algebra

QuestionFill in the table using this function rule. y=−10x−3y=-10 x-3 \begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-5 & □\square \\ \hline-1 & □\square \\ \hline 0 & □\square \\ \hline 1 & □\square \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. The function rule given is y=−10x−3 y = -10x - 3 .
2. We need to calculate the value of y y for each provided value of x x .
3. The values of x x given are −5 -5 , −1 -1 , 0 0 , and 1 1 .
4. The table needs to be filled with the corresponding y y values.

STEP 2

1. Substitute x=−5 x = -5 into the function rule to find y y .
2. Substitute x=−1 x = -1 into the function rule to find y y .
3. Substitute x=0 x = 0 into the function rule to find y y .
4. Substitute x=1 x = 1 into the function rule to find y y .
5. Fill in the table with the calculated y y values for each x x .

STEP 3

Substitute x=−5 x = -5 into the function rule y=−10x−3 y = -10x - 3 .
y=−10(−5)−3 y = -10(-5) - 3

STEP 4

Simplify the expression to find y y .
y=50−3=47 y = 50 - 3 = 47

STEP 5

Substitute x=−1 x = -1 into the function rule y=−10x−3 y = -10x - 3 .
y=−10(−1)−3 y = -10(-1) - 3

STEP 6

Simplify the expression to find y y .
y=10−3=7 y = 10 - 3 = 7

STEP 7

Substitute x=0 x = 0 into the function rule y=−10x−3 y = -10x - 3 .
y=−10(0)−3 y = -10(0) - 3

STEP 8

Simplify the expression to find y y .
y=0−3=−3 y = 0 - 3 = -3

STEP 9

Substitute x=1 x = 1 into the function rule y=−10x−3 y = -10x - 3 .
y=−10(1)−3 y = -10(1) - 3

STEP 10

Simplify the expression to find y y .
y=−10−3=−13 y = -10 - 3 = -13

STEP 11

Fill in the table with the calculated y y values for each x x .
\begin{tabular}{|c|c|} \hlinexx & yy \\ \hline-5 & 47 \\ \hline-1 & 7 \\ \hline 0 & -3 \\ \hline 1 & -13 \\ \hline \end{tabular}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord