Answered

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Find an equation in slope interact form of the number of pizzas sold as a function of time for Mario's

Sagot :

MrRoyal

Answer:

[tex]y = 3x+7[/tex]

Step-by-step explanation:

Given

See attachment for Mario's pizza table

Required

Determine the equation in slope intercept form

First, we calculate the slope of the table using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we have:

[tex](x_1,y_1) = (3,16)[/tex]

[tex](x_2,y_2) = (5,22)[/tex]

So, the slope is:

[tex]m = \frac{22 - 16}{5 - 3}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where:

[tex](x_1,y_1) = (3,16)[/tex]

[tex]m =3[/tex]

So:

[tex]y = 3(x - 3) + 16[/tex]

Open bracket

[tex]y = 3x - 9 + 16[/tex]

[tex]y = 3x+7[/tex]

View image MrRoyal
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