Respuesta :
Answer:
After 75 minutes of driving Pablo has 33.7 miles to his destination.
Step-by-step explanation:
Let the variable be denoted as follows:
Y = number of miles to destination
X = time for which Pablo has been driving.
The information provided is:
Pablo has y₁ = 66 miles to his destination after x₁ = 41 minutes of driving.
And he has y₂ = 39.4 miles to his destination after x₂ = 69 minutes of driving.
Use the two-point slope form to determine the linear function of Pablo's total driving time as follows:
[tex](y-y_{1})=[\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](x-x_{1})\\(y-66)=[\frac{39.4-66}{69-41}](x-41)\\y-66=-0.95(x-41)\\y=-0.95x+38.95+66\\y=-0.95x+104.95...(*)[/tex]
The equation (*) represents the linear function of Pablo's total driving time.
Compute the number of miles Pablo will he have to his destination after 75 minutes of driving as follows:
[tex]y=-0.95x+104.95\\y=(-0.95\times75)+104.95\\y=33.7[/tex]
Thus, after 75 minutes of driving Pablo has 33.7 miles to his destination.
