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The Augello family is driving from Columbus to St. Louis at a constant rate of 65 miles per hour. The distance between the two cities is 420 miles. Write an equation in slope-intercept form to represent the distance y in miles remaining after driving x hours.

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akposevictor

Answer:

[tex] y = -65x + 420 [/tex]

Step-by-step explanation:

Slope-intercept form equation is given as [tex] y = mx + b [/tex]

Where,

y = distance remaining

x = hours driven

m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.

b = y-intercept, which is the initial value or the distance between the cities = 420

Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:

[tex] y = -65x + 420 [/tex]

MrRoyal

The equation in slope intercept form is [tex]y =-65x + 420[/tex]

Linear function

A linear function is a function whose value changes at a constant rate.

The given parameters are:

  • Distance = 420 miles
  • Rate = -65 miles per hour

A linear function is represented as:

[tex]y = mx + c[/tex]

Where

  • m represents the rate
  • c represents the initial value i.e. the distance

So, the function becomes

[tex]y =-65x + 420[/tex]

Hence, the equation in slope intercept form is [tex]y =-65x + 420[/tex]

Read more about linear functions at:

https://brainly.com/question/14323743

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