Can someone help me with this math homework please!

(A, B, D)

Step-by-step explanation:

Let's evaluate each answer choice:

"The independent variable is the number of people"

Correct. The number of people is independent and DOESN'T depend on the total cost to change.

"The initial value (initial fee) for the pinic is $40"

Correct. In this table, every 3 people increases the cost by $6. So that means 6 people would increase the cost by $12. From the first row of 6 people and $52, if we "subtracted" 6 people and "subtracted" $12, we would get a value of 0 people with a total cost of $40.

"The rate of change is $8.67 per person"

Wrong. To find the rate of change (also called slope), use this method below:

(y_2 - y_1)/(x_2 - x_1)

(6, 52) (9, 58)

x_1 = 6

x_2 = 9

y_1 = 52

y_2 = 58

(58 - 52)/(9-6)

6/3 = 2

The rate of change is 2, not 8.67.

"As the number of people increases, the total cost of the picnic increases."

Correct. As you can see in the table, as the number of people increase (6, 9, 12, 15), the total cost increases as well (52, 58, 64, 70).

"If 4 people attended the picnic, the total cost would be $46."

Wrong. In one of the previous answer choices, we found out that the rate of change, or the cost per person at picnic, is $2, and the intial fee is $40. From this info, we can form this equation:

y = 2x + 40

And if we plug in 4 people into this equation, we DON'T end up with total cost of $46:

2(4) + 40

8 + 40 = 48

The total cost for 4 people is $48, NOT $46

Hope this helps (●'◡'●)

take it another