The correct option is c) that correctly shows the function t(m) = -0.2m + 6.
The graph that correctly shows the function is c). Here's why:
The function is linear, which means it's a straight line.
The y-intercept of the function is 6, which means the line crosses the y-axis at 6 (when m = 0).
The slope of the function is -0.2. This means that for every 1 minute increase in m, the temperature decreases by 0.2 degrees Celsius. So, the line should slant downwards as m increases.
Looking at the graphs:
a) and b) are not linear, so they can't be the correct graph.
d) has the correct y-intercept but the wrong slope. It increases as m increases, whereas the correct function should decrease.
c) has the correct y-intercept and the correct slope. It slants downwards as m increases, which is what the function does.
Therefore, c) is the graph that correctly shows the function t(m) = -0.2m + 6.