Algebra 2 help!! I have 2 hours to turn this in?

Question

so there is a table:

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x| 0 | 5 | 10 | 15 |

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y| 7 | 17 | 27 | 37 |

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this is the incorrect equation:

y=7+10x

i have to describe and correct the error in writing the equation. help?

Answer 1

The correct equation is y = 7 + 2x

Pretty simple, I just knew that each x was a multiple of 5, and the y was simply double the value for x with 7 added.

Answer 2

Clearly it is a linear relationship.

y=mx+c

x=0,y=7 => c=7

Therefore y=mx+7

x=5,y=17 => 17=5m+7

=> m=2

Therefore y=2x+7

Answer 3

The equation should be y = 7 + 2x (all the values of x and y in the table satisfy the equation)

you can see, only the first condition of x=0 satisfies the equation, others dont. so the only solution where you can substitute all x and obtain the corresponding y is the equation I've mentioned.

good luck!

Answer 4

y=2x+7