Easy algebra 2 question can someone please answer it asap

Algebra
Tutor: None Selected Time limit: 1 Day

Mary Sue is training for a 5k run. She ran for 24 minutes a shown on the graph below.

During which range did Mary Sue run the fastest?

A. between 0-­4 minutes
B. between 8­-14 minutes
C. between 14­-16 minutes
D. between 16 and 24 minutes

Sep 7th, 2015

Thank you for the opportunity to help you with your question!

Hey, can you please try sending the graph again? :)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 7th, 2015
Sep 7th, 2015

sorry forgot to put the graph in there too 

Sep 7th, 2015

No worries!  I'll get back to you shortly.

Sep 7th, 2015

To find the range when Mary Sue ran the fastest, you will need to find the range with the steepest slope.  You do this because you want to find where she traveled the most amount of kilometers (y-axis) in the least amount of time (x-axis).  You can see from the graph that ranges (0-4mins) and (14-16mins) are definitely not the steepest slopes, so you will need to calculate the other two time ranges.

(8-14 minutes)

slope = change in y / change in x

slope = (3-1) / (14-8) = 2/6 = 1/3

 

(16-24 minutes)

slope = (6-3) / (24-16) = 3/8

 

Now you need to determine which is bigger (1/3 or 3/8)

Convert them to same denominator, which is 24.

1/3 = 8/24

3/8 = 9/24

 

So 3/8 is bigger, which is the slope from 16-24 minutes.

Answer is D.

Sep 7th, 2015

Thanks!

Sep 7th, 2015

No problem!  Let me know if you have any other questions :)

Sep 7th, 2015

i actually do. thank you so much for helping 

The Washington Monument, in Washington, D.C., is 555 feet 5 ⅛  inches tall and weighs 90,854 tons. The monument is topped by a square aluminum pyramid. The sides of the pyramid’s base measure 5.6 inches, and the pyramid is 8.9 inches tall. Estimate the slope that a face of the pyramid makes with its base. Round to the nearest tenth.


A. 163.7

B. 2.2

C. 1.6

D. 0.3


Sep 7th, 2015

nevermind got the asnwer already thanks anyways :)

Sep 7th, 2015

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