Mrs. Ashe is planning to take her study group on a field trip to an amusement park. The regular cost is $7.00 per person. There is a party special that costs $4.00 per person with an additional $30.00 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.

A) 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. (50 points)

B) 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. (50 points)

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Mistystar4881 Mistystar4881 · Answer 1 · 2020-03-16T18:29:53+01:00

Hey there!

a) Your answer is y = 7x.

When we are making this equation, we need to find the values for m and b and plug those into y = mx + b.

The regular cost is $7 per person. This is the value for m, since x is the amount of people.

There is no additional cost, so b = 0.

Plugging those values in, we have y = 7x.

b) Your answer is y = 4x + 30.

Let's find the values for m and b again.

Since the party special costs $4 per person, m is equal to 4.

There is an additional $30 fee, which is the value for b because this fee will be there regardless of the amount of people.

Plugging those values in, we have y = 4x + 30.

Again, here are the answers:

a) y = 7x

b) y = 4x + 30

Hope this helps!