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:

Equation 1 : Y = 12 x

Equation 1  : Y = 9 x + 20

Step-by-step explanation:

We use the equation ; y = mx + b

Where y is the total cost, x the number of students, m will be the multiplier and b any kind of offset.

As per information given, equation for case 1 will be written as;

Y = 12x + 0

Y = 12 x

As per information given, equation for case 2 will be written as;

Y = 9 x + 20

Here 20 is the offset payment.

To decide the lowermost cost, one has to know the total students for the party