Answer:
(A, B, D)
Step-by-step explanation:
Let's evaluate each answer choice:
<u>"The independent variable is the number of people"</u>
Correct. The number of people is independent and DOESN'T depend on the total cost to change.
<u>"The initial value (initial fee) for the pinic is $40"</u>
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.
<u>"The rate of change is $8.67 per person"</u>
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.
<u>"As the number of people increases, the total cost of the picnic increases."</u>
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).
<u>"If 4 people attended the picnic, the total cost would be $46."</u>
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 (●'◡'●)
