Question

I need help with this question

Answer 1

`c = (1)/(4)m+ 15`

Explanation:

Given

The attached graph

Required

The graph equation

Pick two points from the graph, we have:

`(m_1,c_1) = (0,15)`

`(m_2,c_2) = (40,25)`

Start by calculating the slope (a)

`a = (c_2 - c_1)/(m_2 - m_1)`

So, we have:

`a = (25 - 15)/(40 - 0)`

`a = (10)/(40)`

`a = (1)/(4)`

The equation is then calculated using:

`c = a(m - m_1) + c_1`

So, we have:

`c = (1)/(4)(m - 0) + 15`

`c = (1)/(4)m+ 15`