Question

Mrs. Ashe is planning to take her study group on a field trip to an amusement park. The regular cost is $12 per person. There is a party special that costs $9 per person with an additional $20 fee for a private room where students can eat lunch. Mrs. Ashe is trying to decide if she should use the regular price or the party special.

#1) Write an equation in slope-intercept form (y=mx+b) to show the total cost of the regular price with x people, where x = number of students in the study group and y = the total cost.

#2) Write an equation in slope-intercept form (y=mx+b) to show the total cost of the party special with x people, where x = number of students in the study group and y = the total cost.

Answer 1

Answer:

#1) y = 12x

#2) y = 9x + 20

Step-by-step explanation:

No. 1

y = total cost

x = Number of students

If each student pays $12 and they are x students, the total cost will be the product of 12 and x, which is 12x

y = 12x

No. 2

y = total cost

x = Number of students

If each student pays $9, and they are x students, the amount paid will be the product of 9 and x, which is 9x. However, there is another charge of $20 for a private room where the students can eat lunch .

∴ Total cost = The amount paid for the students + the charge for private room

y = 9x + 20