Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought 10 cans of food, and each student brought 2 cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought 3 cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class y in terms of the number of students x.
Q. Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought 10 cans of food, and each student brought 2 cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought 3 cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class y in terms of the number of students x.
Mr. Lao's class equation: Let's start with Mr. Lao's class. We know that Mr. Lao brought 10 cans of food, and each student brought 2 cans. The number of cans of food (y) is a function of the number of students (x). The equation will have a y-intercept (where x=0) of 10, because that's the number of cans Mr. Lao brought. The slope of the equation will be 2, because each student brings 2 cans. So the equation for Mr. Lao's class is:y=2x+10
Ms. Roger's class equation: Now let's consider Ms. Roger's class. Ms. Rogers did not bring any cans, so the y-intercept is 0. Each student brought 3 cans of food, so the slope of the equation is 3. The equation for Ms. Roger's class is:y=3x+0which simplifies to:y=3x
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