Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 60 miles an hour. Don noticed that 3 hours into the trip they were 650 miles from the destination. How far from their destination will they be 3.7 hours since entering the freeway?
How far from their destination were they 2.3 hours since entering the freeway?

To solve the problem we must know about Speed, distance, and Time.

We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,

Given to us

Speed = 60 miles an hour

Don noticed that 3 hours into the trip they were 650 miles from the destination.

We know that Don and Ana are traveling at a constant speed and they are traveling for 3 hours.

Thus, Distance traveled by them in 3 hours is 180 miles.

We know that Don and Ana are traveling on the freeway for the past 3 hours and they are still 650 miles away, therefore,

Total Distance from their destination

= Distance traveled by them in 3 hours + 650 miles

= 180 miles + 650 miles

= 830 miles

Thus, the distance traveled by then is 830 miles.

A.) Distance between them and destination after 3.7 hours since entering the freeway,

Distance traveled by them = speed x 3.7

                                             = 60 x 3.7 = 222 miles

= Total Distance from their destination - Distance traveled by them

= 830 miles - 222 miles

= 608 miles

Thus, they are 608 miles far from their destination.

B.) Distance between them and destination after 2.3 hours since entering the freeway,

Distance traveled by them = speed x 2.3

                                             = 60 x 2.3 = 138 miles

= Total Distance from their destination - Distance traveled by them

= 830 miles - 138 miles

= 692 miles

Thus, they are 692 miles far from their destination.

Learn more about Speed, distance, and Time:

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They will be 608 miles from their destination after 3.7 hours

They will be 692 miles from their destination after 2.3 hours

Step-by-step explanation:

First, find the amount of miles that it takes them in total to drive to their destination.

3 hours into the trip, they already drove 180 miles, since they drove at 60 mph.

Add this to 650 to find the total number of miles to the destination:

180 + 650 = 830

Now, find how far they will be 3.7 hours after:

3.7(60) = 222

830 - 222

= 608 miles

Find how far they were 2.3 hours after:

2.3(60) = 138

830 - 138

= 692 miles

They will be 608 miles from their destination after 3.7 hours

They will be 692 miles from their destination after 2.3 hours

6.5

step-by-step explanation:

you said it was in the question

~courtney

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.