Question

Keith is driving to Chicago. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Keith has miles to his destination after minutes of driving, and he has miles to his destination after minutes of driving. How many miles will he have to his destination after minutes of driving?

Answer 1

Answer:

Step-by-step explanation:

I think you missed the information for the distance he has traveld and the time. Here is my suggestion for that information and hope it will fit your question well

Keith is driving to Milwaukee .suppose that the distance to his destination (in miles) is a linear function of his total driving time in (minutes) . Felipe has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving . How many miles will he have after 85 minutes of driving ?

Keith has 67 miles to his destination after 49 minutes of driving .

He has 47.5 miles to his destination after 75 minutes of driving .

How many miles will he have after 85 minutes of driving ?

Use the slope formula: m = $\frac{y2 - y1 }{x2 - x1}$ where :

x1=49; y1=67

x2=75; y2=47.5

Use the point/slope y - y1 = m(x - x1)

y - 67 = -.75(x - 49)

y - 67 = -.75x + 36.75

y = -.75x + 36.75 + 67

y = -.75x + 103.75

Looks like this , see my attachment.

"How many miles will he have after 85 minutes of driving ?"

x = 85

y = -.75(85) + 103.75

y = -63.75 + 103.75

y = 40 mi from home after 85 min