Question

How do you find the equation of this question using y=mx+c if there is no c value?

Answer 1

There is no `c` because `c=0`. The equation goes through `(0,0)`

Explanation:

So the equation is `S=4.5M`
(`S`=storeys, `M`=months)

Answer 2

6 months gives 27 storeys

24 months gives 108 storeys

Explanation:

`color(blue)("Building the equation")`

Let the count of months be `x`

Let the gradient be `m=4.5`

Let the count of storeys be `y`

Let `c=0`

Then we have `" "y=mx+c" "->" "y=4.5x`

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`color(blue)("Solution to part a")`

Set months count as `x=6`

`y=4.5xx6`
`y=27" storeys"`

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Solution to part b")`

Set months count as `x=24`

`y=4.5xx24=108" storeys"`
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
`color(blue)("Comment")`

Notice that 24 months is `4xx6` months

so for 24 months we have `4xx27` storeys `=108` storeys