To write the equation of the line, we should first determine its slope. Therefore, we will choose two points on the line. Looking at the graph, we can choose the points (20,410) and (30,530). Let's use the Slope Formula!
Now that we know the slope of the line and a point that it passes through, we can write the equation in the point-slope form. Let (20,410) be our reference point.
y-y_1=m(x-x_1)
⇕ [0.5em]
y-410=12(x-20)
By isolating y, we can rewrite the equation in slope-intercept form to make it a bit easier to understand.
By the equation, we found that a 200-Calorie hamburger contains 2.5 grams of fat, which is not close to the given amount of fat 10 grams. This means that it is not reasonable. Next, we will find the amount of fat that a 660-Calorie hamburger contains in the same way.
Hamburger
y=12x+170
Estimated Fat
Given Fat
200-Calorie
200=12x+170
2.5 grams
10 grams
660-Calorie
660=12x+170
40.8 grams
36 grams
A 660-Calorie hamburger contains 40.8 grams of fat, which is close to the given amount of fat 36. Therefore, it is reasonable.
