Aniyah is driving home at a constant speed. After 20 minutes, she is 70 miles from home. What equation models her distance from home, y, as a function of time, x?

The equation that models her distance from home, y, as a function of time, x will be:

Step-by-step explanation:

We know that the slope-intercept form of a linear function is

y = mx+b

Here m is the slope and b is the y-intercept

Given that Aniyah is driving home at a constant speed.

at t = 20 minutes, she has covered 70 miles

so the rate of change = 70/20

                                     = 3.5 miles per minute

Finding the y-intercept by substituting m = rate of change = 3.5 and the point (20, 70)

y = mx+b

70 = 3.5(20) + b

b = 70 - 70

  = 0

Thus, the equation becomes

y = mx+b

y = 3.5x + 0

y = 3.5x

Therefore, the equation that models her distance from home, y, as a function of time, x will be:

is there a question here?

step-by-step explanation: