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.
Determine Equation for Mr. Lao's Class: Determine the equation for Mr. Lao's class.Mr. Lao brought 10 cans of food, and each student brought 2 cans. The total number of cans (y) is the sum of the cans Mr. Lao brought and the cans brought by the students.The equation will have a starting value (y-intercept) of 10 (from Mr. Lao) and a slope of 2 (each student's contribution).
Write Equation for Mr. Lao's Class: Write the equation for Mr. Lao's class.Using the slope-intercept form y=mx+b, where m is the slope and b is the y-intercept:For Mr. Lao's class, m=2 (since each student brings 2 cans) and b=10 (cans that Mr. Lao brought).So the equation is y=2x+10.
Determine Equation for Ms. Roger's Class: Determine the equation for Ms. Roger's class.Ms. Rogers did not bring any cans, but each student brought 3 cans. The total number of cans (y) is just the cans brought by the students.The equation will have a starting value (y-intercept) of 0 (since Ms. Rogers brought no cans) and a slope of 3 (each student's contribution).
Write Equation for Ms. Roger's Class: Write the equation for Ms. Roger's class.Using the slope-intercept form y=mx+b, where m is the slope and b is the y-intercept:For Ms. Roger's class, m=3 (since each student brings 3 cans) and b=0 (since Ms. Rogers brought no cans).So the equation is y=3x+0, which simplifies to y=3x.
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