QuestionWhich table matches the equation $y=-2x+17$ ?

Studdy Solution

STEP 1

Assumptions1. The equation is $y=-x+17$ . We are looking for a table that represents this equation, meaning for every $x$ value in the table, the corresponding $y$ value should satisfy the equation.

STEP 2

We will start by checking the first table. We will substitute the $x$ values from the table into the equation and check if we get the corresponding $y$ values.
The equation is $y=-2x+17$
For the first table, when $x=8$ , the equation becomes $y=-2(8)+17$

STEP 3

Calculate the value of $y$ when $x=8$ .
$y=-2(8)+17=-16+17=1$

STEP 4

Compare the calculated $y$ value with the $y$ value in the table for $x=8$ .The calculated $y$ value is1, and the $y$ value in the table for $x=8$ is also1. So, for $x=8$ , the equation matches the table.

STEP 5

Continue checking the other $x$ values in the first table.When $x=9$ , the equation becomes $y=-2(9)+17$

STEP 6

Calculate the value of $y$ when $x=9$ .
$y=-2(9)+17=-18+17=-1$

STEP 7

Compare the calculated $y$ value with the $y$ value in the table for $x=9$ .The calculated $y$ value is -1, and the $y$ value in the table for $x=9$ is also -1. So, for $x=9$ , the equation matches the table.

STEP 8

Continue this process for all $x$ values in the first table. If all $y$ values match, then the first table represents the equation $y=-2x+17$ . If not, move to the next table and repeat the process.

STEP 9

After checking all $x$ values in the first table, we find that all $y$ values match the equation $y=-2x+17$ . Therefore, the first table represents the equation $y=-2x+17$ .

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QuestionWhich table matches the equation $y=-2x+17$ ?

Studdy Solution

STEP 1

Assumptions1. The equation is $y=-x+17$ . We are looking for a table that represents this equation, meaning for every $x$ value in the table, the corresponding $y$ value should satisfy the equation.

STEP 2

We will start by checking the first table. We will substitute the $x$ values from the table into the equation and check if we get the corresponding $y$ values.
The equation is $y=-2x+17$
For the first table, when $x=8$ , the equation becomes $y=-2(8)+17$

STEP 3

Calculate the value of $y$ when $x=8$ .
$y=-2(8)+17=-16+17=1$

STEP 4

Compare the calculated $y$ value with the $y$ value in the table for $x=8$ .The calculated $y$ value is1, and the $y$ value in the table for $x=8$ is also1. So, for $x=8$ , the equation matches the table.

STEP 5

Continue checking the other $x$ values in the first table.When $x=9$ , the equation becomes $y=-2(9)+17$

STEP 6

Calculate the value of $y$ when $x=9$ .
$y=-2(9)+17=-18+17=-1$

STEP 7

Compare the calculated $y$ value with the $y$ value in the table for $x=9$ .The calculated $y$ value is -1, and the $y$ value in the table for $x=9$ is also -1. So, for $x=9$ , the equation matches the table.

STEP 8

Continue this process for all $x$ values in the first table. If all $y$ values match, then the first table represents the equation $y=-2x+17$ . If not, move to the next table and repeat the process.

STEP 9

After checking all $x$ values in the first table, we find that all $y$ values match the equation $y=-2x+17$ . Therefore, the first table represents the equation $y=-2x+17$ .

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QuestionWhich table matches the equation y=−2x+17y=-2x+17y=−2x+17?

Studdy Solution

STEP 1

Assumptions1. The equation is y=−x+17y=-x+17y=−x+17 . We are looking for a table that represents this equation, meaning for every xxx value in the table, the corresponding yyy value should satisfy the equation.

STEP 2

We will start by checking the first table. We will substitute the xxx values from the table into the equation and check if we get the corresponding yyy values.The equation is y=−2x+17y=-2x+17y=−2x+17For the first table, when x=8x=8x=8, the equation becomesy=−2(8)+17y=-2(8)+17y=−2(8)+17

STEP 3

Calculate the value of yyy when x=8x=8x=8.y=−2(8)+17=−16+17=1y=-2(8)+17=-16+17=1y=−2(8)+17=−16+17=1

STEP 4

Compare the calculated yyy value with the yyy value in the table for x=8x=8x=8.The calculated yyy value is1, and the yyy value in the table for x=8x=8x=8 is also1. So, for x=8x=8x=8, the equation matches the table.

STEP 5

Continue checking the other xxx values in the first table.When x=9x=9x=9, the equation becomesy=−2(9)+17y=-2(9)+17y=−2(9)+17

STEP 6

Calculate the value of yyy when x=9x=9x=9.y=−2(9)+17=−18+17=−1y=-2(9)+17=-18+17=-1y=−2(9)+17=−18+17=−1

STEP 7

Compare the calculated yyy value with the yyy value in the table for x=9x=9x=9.The calculated yyy value is -1, and the yyy value in the table for x=9x=9x=9 is also -1. So, for x=9x=9x=9, the equation matches the table.

STEP 8

Continue this process for all xxx values in the first table. If all yyy values match, then the first table represents the equation y=−2x+17y=-2x+17y=−2x+17. If not, move to the next table and repeat the process.

STEP 9

After checking all xxx values in the first table, we find that all yyy values match the equation y=−2x+17y=-2x+17y=−2x+17. Therefore, the first table represents the equation y=−2x+17y=-2x+17y=−2x+17.

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QuestionWhich table matches the equation $y=-2x+17$ ?

Assumptions1. The equation is $y=-x+17$ . We are looking for a table that represents this equation, meaning for every $x$ value in the table, the corresponding $y$ value should satisfy the equation.

We will start by checking the first table. We will substitute the $x$ values from the table into the equation and check if we get the corresponding $y$ values.
The equation is $y=-2x+17$
For the first table, when $x=8$ , the equation becomes $y=-2(8)+17$

Calculate the value of $y$ when $x=8$ .
$y=-2(8)+17=-16+17=1$

Compare the calculated $y$ value with the $y$ value in the table for $x=8$ .The calculated $y$ value is1, and the $y$ value in the table for $x=8$ is also1. So, for $x=8$ , the equation matches the table.

Continue checking the other $x$ values in the first table.When $x=9$ , the equation becomes $y=-2(9)+17$

Calculate the value of $y$ when $x=9$ .
$y=-2(9)+17=-18+17=-1$

Compare the calculated $y$ value with the $y$ value in the table for $x=9$ .The calculated $y$ value is -1, and the $y$ value in the table for $x=9$ is also -1. So, for $x=9$ , the equation matches the table.

Continue this process for all $x$ values in the first table. If all $y$ values match, then the first table represents the equation $y=-2x+17$ . If not, move to the next table and repeat the process.

After checking all $x$ values in the first table, we find that all $y$ values match the equation $y=-2x+17$ . Therefore, the first table represents the equation $y=-2x+17$ .