MATH SOLVE

2 months ago

Q:
# James is driving to Madison from his home. His distance from Madison, f(x), in miles, changes as the number of hours, x, increases. The following graph represents James' distance from Madison.

Accepted Solution

A:

1) The domain for function f is [ 0 , 4 ]

2) Intitial rate: r1=d/t1

d=320 miles

t1=4 hours

r1=(320 miles) / (4 hours)

r1=80 miles/hour

If James had driven 5 miles per hour faster for the entire drive to Madison:

Rate 2: r2=r1+5 miles/hour

r2=80 miles/hour + 5 miles/hour

r2=85 miles/hour

The domain of f would?

r2=d/t2

85 miles/hour=(320 miles)/t2

Solving for t2

(85 miles/hour) t2 = 320 miles

t2= (320 miles) / (85 miles/hour)

t2= 64/17 hours = 3.764705882 hours

t2=3.76 hours

The domain of f would be [ 0 , 64/17 ]

The domain of f would be reduced, because he would have driven at highest rate

2) Intitial rate: r1=d/t1

d=320 miles

t1=4 hours

r1=(320 miles) / (4 hours)

r1=80 miles/hour

If James had driven 5 miles per hour faster for the entire drive to Madison:

Rate 2: r2=r1+5 miles/hour

r2=80 miles/hour + 5 miles/hour

r2=85 miles/hour

The domain of f would?

r2=d/t2

85 miles/hour=(320 miles)/t2

Solving for t2

(85 miles/hour) t2 = 320 miles

t2= (320 miles) / (85 miles/hour)

t2= 64/17 hours = 3.764705882 hours

t2=3.76 hours

The domain of f would be [ 0 , 64/17 ]

The domain of f would be reduced, because he would have driven at highest rate