Simone paid $12 for an initial years subscription to a magizine. The renewal rate is $8 per year. This situation can be represented by the equation y=8x+12, where x represents the number of years the subscription is renewed and y represents the total cost.

Respuesta :

This is easy. Select different values for x to find y values.

For example, let x = 0.

y = 8x + 12

y = 8(0) + 12

y = 0 + 12

y = 12

On your table, you have x = 0 and y = 12.

Do the same using other values of x.

The table shows the solution for the linear equation.

What is linear equation?

"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line".

For the given situation,

Cost for initial year subscription = $12

Cost for renewal = $8

The number of years the subscription is renewed be 'x' and

The total cost be 'y'.

This situation can be represented by the equation y = 8x+12.

For this linear equation, we need to make table by substituting different values of x to get y.

For [tex]x=1[/tex]

⇒[tex]y=8(1)+12[/tex]

⇒[tex]y=20[/tex]

For [tex]x=2[/tex]

⇒[tex]y=28[/tex]

For [tex]x=3[/tex]

⇒[tex]y=36[/tex]

For [tex]x=4[/tex]

⇒[tex]y=44[/tex]

For [tex]x=5[/tex]

⇒[tex]y=52[/tex]

The table below shows these interpretations.

Hence we can conclude that the table shows the solution for the linear equation.

Learn more about linear equation here

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