Answer: he have 43.6 miles to his destination after 51 minutes of driving.
Step-by-step explanation:
let x represent his total driving time (in minutes).
Let y represent the number of miles that Ryan has to his destination.
If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be
Slope, m = (58 - 46.8)/(33 - 47)
m = 11.2/- 14 = - 0.8
The equation of the straight line can be represented in the slope-intercept form, y = mx + c
Where
c = intercept
m = slope
To determine the intercept, we would substitute x = 33, y = 58 and m = - 0.8 into y = mx + c. It becomes
58 = - 0.8 × 33 + c
58 = - 26.4 + c
c = 58 + 26.4
c = 84.4
The linear function becomes
y = - 0.8x + 84.4
Therefore, after 51 minutes, the number of miles that he has to his destination is
y = - 0.8 × 51 + 84.4
y = 43.6
