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Sandra runs a water slide at the water park and needs to count the people who go down the slide. At the beginning of her shift, 178 people had gone down the slide. The table shows the total number of water sliders for several times during Sandra's shift.

Hours into Sandra's shift

0 1 2 3
Total number of people

178 224 270 316
What is the equation in slope-intercept form that represents the total number of water sliders over time?

Choose the correct expressions from the drop-down menus to create the equation in slope-intercept form.

Respuesta :

The answer is y = 46x + 178. I did this question b4 and this was the answer
MrRoyal

The table of total number of water sliders is an illustration of a linear function.

The equation in slope intercept form is: [tex]\mathbf{y = 46x + 178}[/tex]

From the table, we have the following points.

[tex]\mathbf{(x_1,y_1) = (0,178)}[/tex]

[tex]\mathbf{(x_2,y_2) = (1,224)}[/tex]

Calculate the slope (m)

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

So, we have:

[tex]\mathbf{m = \frac{224 - 178}{1 - 0}}[/tex]

[tex]\mathbf{m = \frac{46}{1 }}[/tex]

[tex]\mathbf{m = 46}[/tex]

The linear equation is then calculated as:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 46(x - 0) + 178}[/tex]

[tex]\mathbf{y = 46x + 178}[/tex]

Hence, the equation in slope intercept form is: [tex]\mathbf{y = 46x + 178}[/tex]

Read more about linear functions at:

https://brainly.com/question/19608769

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