Question

Leo needs to write an essay for history class. He estimates that he can write 1.5 pages per

hour, and his essay needs to be 6 pages long.
Write an equation that shows the relationship between the number of hours Leo spends
writing, x, and number of pages he has left to write, y.

Answer 1

Answer: y = 6-1.5x

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Work Shown:

x = number of hours

1.5x = number of pages written after x hours

y = 6-1.5x = number of pages left after x hours

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In other words, if Leo can write at a pace of 1.5 pages per hour, and works for x hours, then he has written 1.5x pages so far. The difference of this with 6 will tell us what is left over. So the expression 6-1.5x is the amount of pages left, which is the value of y.

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An example:

x = 2 so 1.5x = 1.5*2 = 3

At the 2 hour mark, Leo has written 3 pages. He has 6-1.5x = 6-1.5*2 = 6-3 = 3 pages left.