Pablo is driving to Los Angeles. Suppose that the distance to his destination is a linear function of his total driving time. Pablo has 66 miles to his destination after 41 minutes of driving, and he has 39.4 miles to his destination after 69 minutes of driving. How many miles will he have to his destination after 75 minutes of driving

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:

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:

Thus, after 75 minutes of driving  Pablo has 33.7 miles to his destination.

step-by-step explanation: