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The table shows the distance Penelope is from the park as she walks to soccer practice. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y=mx+b

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The table shows the distance Penelope is from the park as she walks to soccer practice Assume the relationship between the two quantities is linear Find and int class=

Respuesta :

The equation of the function in the form y=mx+b is y = 110x-2020

Rate of a change of function

The standard equation of a line is expressed as:

y = mx + b

where:

m is the rate of change or slope

b is the intecept

Using the coordinate points

Determine the slope

m = 550/5

m = 110

For the intercept

280 + 110(20) + b

280 = 2200 + b

b = 180 - 2200

b = -2020

Hence the equation of the function in the form y=mx+b is y = 110x-2020

Learn more on rate of change here: https://brainly.com/question/8728504