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Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought 1010 cans of food, and each student brought 22 cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought 33 cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class yy in terms of the number of students xx.

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Q. Franklin Middle School is having a canned food drive. In Mr. Lao's class, Mr. Lao brought 1010 cans of food, and each student brought 22 cans. In Ms. Roger's class, Ms. Rogers did not bring any cans, but each student brought 33 cans of food. Write two equations in slope-intercept form to represent the number of cans of food for each class yy in terms of the number of students xx.
  1. Determine Equation for Mr. Lao's Class: Determine the equation for Mr. Lao's class.\newlineMr. Lao brought 1010 cans of food, and each student brought 22 cans. The total number of cans (yy) is the sum of the cans Mr. Lao brought and the cans brought by the students.\newlineThe equation will have a starting value (yy-intercept) of 1010 (from Mr. Lao) and a slope of 22 (each student's contribution).
  2. Write Equation for Mr. Lao's Class: Write the equation for Mr. Lao's class.\newlineUsing the slope-intercept form y=mx+by = mx + b, where mm is the slope and bb is the y-intercept:\newlineFor Mr. Lao's class, m=2m = 2 (since each student brings 22 cans) and b=10b = 10 (cans that Mr. Lao brought).\newlineSo the equation is y=2x+10y = 2x + 10.
  3. Determine Equation for Ms. Roger's Class: Determine the equation for Ms. Roger's class.\newlineMs. Rogers did not bring any cans, but each student brought 33 cans. The total number of cans (yy) is just the cans brought by the students.\newlineThe equation will have a starting value (yy-intercept) of 00 (since Ms. Rogers brought no cans) and a slope of 33 (each student's contribution).
  4. Write Equation for Ms. Roger's Class: Write the equation for Ms. Roger's class.\newlineUsing the slope-intercept form y=mx+by = mx + b, where mm is the slope and bb is the y-intercept:\newlineFor Ms. Roger's class, m=3m = 3 (since each student brings 33 cans) and b=0b = 0 (since Ms. Rogers brought no cans).\newlineSo the equation is y=3x+0y = 3x + 0, which simplifies to y=3xy = 3x.

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