Question

I need help with this question

Answer 1

Answer:

$c = \frac{1}{4}m+ 15$

Step-by-step 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)

$a = \frac{c_2 - c_1}{m_2 - m_1}$

So, we have:

$a = \frac{25 - 15}{40 - 0}$

$a = \frac{10}{40}$

$a = \frac{1}{4}$

The equation is then calculated using:

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

So, we have:

$c = \frac{1}{4}(m - 0) + 15$

$c = \frac{1}{4}m+ 15$