Question

Hannah reads 3 pages every 8 minutes.

Write an equation that shows the relationship between the number of pages she reads (p)(p)left parenthesis, p, right parenthesis and the number of minutes she spends reading (m)(m)left parenthesis, m, right parenthesis.

Answer 1

Number of pages read by Hannah in 8 minute = 3 pages

Number of pages read by Hannah in a minute =
`(3)/(8)` Pages --(1)

If number of pages read by Hannah = p Pages

and , Number of minutes = m Minutes

m Minutes = p Pages

1 Minutes =
`(p)/(m)` Pages --------(2)

Equating (1) and (2), we get

`(p)/(m)=(3)/(8)\\\\8 p = 3 m`

This is a linear relationship in number of pages read by Hannah and number of minutes Hannah spends reading.

Answer 2

P = 3/8m, In other words, The number of pages she reads is equal to 3/8 times the number of minutes that she is reading for. We divide 3 by 8 to find out how many pages she reads per minute, which we can then times by how many minutes she is reading for to work out the total number of pages she has read. Hope this helps!