Aunt Polly asked Tom to paint the entire fence, but he painted
only 8 yards and then ran away to play. Sid had to finish the job
for Tom. Sid started at noon, and by 12:30 p.m., 14 yards of
the fence were painted (including what Tom had painted). By
2:00 p.m., 32 yards were painted, and by 2:30 p.m., 38 yards
were painted
Lett be the number of minutes that have passed since Sid
started painting at noon, but not past 4:30 p.m. Write an
equation that shows the relationship between tand P, where P
is the number of yards of painted fence.


Sagot :

Every half hour Sid paints 6 yards, so by 4:30 PM he will have painted 62 yards.

Linear equations

To show the relationship between T and P, where P is the number of yards of painted fence, the following calculation must be performed:

  • 12:30 - 12:00 = 14 - 8 /// 0.30 = 6
  • 14:00 - 12:30 = 32 - 14 /// 1:30 = 18
  • 14:30 - 14:00 = 38 - 32 /// 0:30 = 6
  • 16:30 - 14:30 = 2 x 12 = 24
  • 38 + 24 = 62

Therefore, every half hour Sid paints 6 yards, so by 4:30 PM he will have painted 62 yards.

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