The cost of a ticket to an amusement park is $42.00 per person. for groups of up to8 people, the cost per ticket decreases by $3.00 for each person in the group. marco's ticket cost $30.00. write and solve an equation to find the number of people in marco's groupe.

X=number of groups.

8x=number of people

f (x) = price of the ticket.

we suggest this function:

m=slope=-3

f (x) = - 3x+42

f (x) = - 3x+42

Therefore:

f (x) = 30

30=-3x+42

3x=42-30

3x=12

x=12/3

x=4

number of people in marco's groupe=8x=8 (4) = 32

Solution:there are 32 people in Marco's groupe.