For this case, the first thing we must do is define variables.
We have then:
x: number of hours
y: Amount of scarf that Sara knits
We then have the following equation that models the problem:
[tex] y = 469 (x - 40)
[/tex]
The number of hours during the 8 days is given by:
[tex] x = 8 * (24-5)
x = 152
[/tex]
Substituting the value of x in the ada equation we have:
[tex] y = 469 (152 - 40)
y = 52528
[/tex]
Answer:
she will knitted by the end of the trip about 52528mm of scarf
The amount of scarf she knits at the end of the trip is:
71288 mm.
The rate at which the scarf is knitten is: 469 mm/hour
If her trip last 8 days and if sara sleeps only 5 hours a day
This means that the number of hours per day she knits the scarf per day is:
24-5=19 hours.
Also, it is done for 8 days.
This means that the total number of hour she knits the scarf is:
19×8=152 hours
Also, the length of the scarf that she knits is:
Rate at which she knits × Total number of hours
= 469×152
= 71288 mm
