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The amount of drinks is a linear function of the number of drinks. The maximum amount that can be purchased is 100 soft drinks.
Let
amount of drinks
number of drinks
For drinks not more than 50
For drinks more than 50.
For a purchase of $85, it means that:
So, we solve for x in both equations.
Collect like terms
Divide through by 0.8
--- approximated
Collect like terms
Divide by 0.7
By comparing both values:
Hence, the maximum amount that can be purchased is 100
Read more about functions at:
Answer:
D had 310 points.
The final ranking is: B,A,D,C
Step-by-step explanation:
The problems states that:
There are 115 votes.
Each ballot has a vote for first place, that counts 4 points, a vote for second place, that counts 3 points, a vote for third place, that counts 2 points and a vote for fourth place that counts 1 point. This means that each ballot has 4+3+2+1 = 10 points.
Since there are 115 voters, there are 115 ballots. This means that the total points of A,B,C and D combined must be equal to 115*10 = 1150. So:
We already know that:
A had 320 points, B had 330 points, and C had 190 points.
So:
B had the most points, followed by A, D and C. So the final ranking is: B,A,D,C