Question

1. The graph shows the number of laps Squidward ran around

a track over a given number of minutes. Complete
sentences. Handwritten. Show work.
Number of Laps
Laps
6
10
3
2
1
0
1 2 3 4
(5.5, 2.2)
(11,4.4)
567 8 9 10 11 12
Time (min)
(a) What is the slope of the line? Use the slope formula
and show your work.
(b) What is the equation of the line?
(c) How many laps did Squidward run per minute?
(d) If he continued to run at the same rate, how many laps
would he run in 20 min?

Answer 1

Explanation:

(
`x_(1)` ,
`y_(1)` )

(
`x_(2)` ,
`y_(2)` )

Slope m =
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

~~~~~~~~~~~~~~~~~~

(a). (5.5, 2.2)

(11, 4.4)

m =
`(4.4-2.2)/(11-5.5)` =
`(2.2)/(5.5)` =
`(2)/(5)`

The slope of the line is
`(2)/(5)`

(b). The line passes the (0, 0), therefore the relation is proportional y = kx and coefficient "k" is the slope of the giving line.

y =
`(2)/(5)` x

(c). From the slope we can see that Squidward runs 2 laps per 5 minutes, then Squidward runs 2 ÷ 5 = 0.4 lap per minute.

(d). 0.4 × 20 = 8 laps