Question

Raven’s parents bought a 24’ sailboat boat for $32,000. After 2 years, the boat was worth $28,500. Using x as the number of years and y as the boat value, graph the two points.

Part 1: [2 points] Describe the slope of the line which connects the two points.

Part 2: [3 points] How can your graph be used to predict the value of the boat in 5 years?

Part 3: [2 points] What is the projected boat value in 5 years?

Answer 1

Part 1

Use the slope formula


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


m = (28500-32000)/(2-0)


m = ???

Answer 2

so what do you think it is?

Answer 3

28500-32000 = ???

Answer 4

so do i put 28500-32000?

Answer 5

no I'm asking you what is the result of that subtraction

Answer 6

-3500?

Answer 7

good

Answer 8

2-0 = 2

Answer 9

so

m = (28500-32000)/(2-0)

turns into

m = (-3500)/(2)

which becomes

m = -1750

Answer 10

so the slope is -1750

this means that the value of the boat is decreasing $1750 each year

Answer 11

for part 2, you just graph the two points (0,32000) and (2,28500) and draw a straight line through them

this will allow you to estimate the value of the boat in 5 years

Answer 12

$8750 for 5 years

Answer 13

optionally, you can use the points (0,32) and (2,28.5) and it will be implied that y is the value in thousands of dollars

Answer 14

$32000-$8750?