The sum of sharon's and john's ages is 70. john is 4 times as old as sharon. if you let sharon's age and john's age, then the problem can be represented by a system of equations. which of the following shows a graph of this system and the solution to this problem?

Hi there, in order to figure this out look at the sum 70. If you want to find the age your going to have to break it down. So, to figure this out I found that Sharon is 14. It took me a while, using different numbers but I worked with 14 and multiplied it by four and found that John is 56, making that x4 older than Sharon. If you divide 56 by 4, you'll get 14, just to check your answer. And to make sure this is correct I added 56 and 14 together to get 70.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

believe it or not anna is correct good job anna give me a fist bump there u go gal