Can someone explain and me through this? a. set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed. remember, units of distance and time must agree. use the conversion information from the warm-up to write a rate in miles per minute. b. let t = 10 and solve for the distance the cheetah covered in 10 minutes. information from the warm up: according to the travel almanac, the world’s fastest land animal is the cheetah. it can travel at up to 70 mph. think of this scenario: a cheetah sitting under a tree sprints toward its prey at 70 mph. it runs back to its initial spot by the tree at a modest 40 mph. the cheetah has embarked on a round-trip. going from point a to point b, the cheetah traveled at an average rate of 70 mph. returning to point a, the cheetah traveled at an average rate of 40 mph. can we say that this cheetah’s average rate was 55 mph? that’s one of the things you’ll determine as you work to complete this task. make a conjecture. what do you think the answer will be?

Step 1

a. 70 miles/ 1 hour | 1 hour / 60 minutes     |   70/ 60 = 1.67

b. 1.67 x 10 = 16.7

Step 2

a. In the first eight minutes it would go 13.36.  

r x t = d  

1.67 miles per minute  x 8 minutes = 13.36 miles

b. In the next eight minutes it would go 5.36 miles.

r x t = d

.67 miles per minute x 8 minutes = 5.36 miles

c. It traveled 8 miles farther.

13.36 - 5.36

d. It would be 1.75 times faster.  

70 / 60 = 9. 3  

40/ 60 = 5.33  

5.33 x 1.75 = 9.3

e. It travels twice as much distances in half the time.

Step 3

a.        to the river

     D            R             T

10 miles |40mph |.25hours

10 miles |70mph| .14hours

        from the river

b. 40 mph x .25 = 70 mph x .14

c. They both equal ten

a. 51.28  

2 x 10 / (10 / 40) + (10/70)  = 51.28

b. Yes because they both equal 51.28.

c. (They both have a common denominator and it’s written as one fraction. )

(Multiplying 2d by the reciprocal of the denominator. Multiply across the fractions.)

(Factoring out d in the denominator and then cancelling out d. )

d. 56 = 2 = 50.90

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.