Kennel Fees The prices for boarding a dog at three different kennels are described below.
Duke's Kennels: Charges a flat foe of $40 for manners lesson,
$16.25 per day to board the dog
58.50 per day for play time with the dog
Lakeside Kennels: Charges a flat foe of S40 for manners lesson,
515
25 per day to board the dog.
$9.50 per day for play time with the dog
Sunbrook
Charges a flat fee of $45.99 for manners lesson,
Kennels:
$18 per day to board the dog.
56.75 per day for play time with the dog
At Sunbrook Kennels
417.24 -
(Use x as number of days )
Problem: You board your dog at Sunbrook's Kennels and pay $417.24. Assume you
get a manners lesson and play time for your dog each day. How many days did your dog
stay at the kennel? Justify your answer.
Response:

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

but which class are u may know that first