Answer:
B. $3
Step-by-step explanation:
Let s, m, l represent the prices of small, medium, and large lemonades, respectively. Three equations can be written based on the given revenue:
We can use the last equation to write an expression for l:
9l = 54 -3m . . . subtract 3m
l = 6 -m/3 . . . . . divide by 9
Substituting this into the first two equations gives ...
12s +11m +6(6 -m/3) = 87 . . . . . sub for l in first equation
12s +9m = 51 . . . . subtract 36, collect terms
Dividing by 3 gives
4s +3m = 17
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10s +6m +(6 -m/3) = 43
10s + (5 1/3)m = 36 . . . . subtract 6, collect terms
30s +16m = 108 . . . . . . multiply by 3
Dividing by 2 gives
15s + 8m = 54
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We can multiply the first of these by 15 and the second by -4, then add the results to eliminate the s variable.
15(4s +3m) -4(15s +8m) = 15(17) -4(54)
60s +45m -60s -32m = 255 -216 . . . . . eliminate parentheses
13m = 39 . . . . . collect terms
m = 3 . . . . . . . . divide by 13
The price of a medium glass of lemonade is $3.
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Most graphing calculators and available on-line calculators can make solving three equations in three unknowns trivially simple.
Answer:
(2,20)
Step-by-step explanation:
The given function is
To see which point is not on this curve, we must substitute the points to see which does not satisfy the equation;
For the first point we substitute x=3 and f(x)=250
This is true.
For the second point (2,20), we put x=2 and y=20 to get:
This is false, hence (2,20) does not lie on this curve.
For (1,10), we have:
This is also true
Finally for (2,50), we have;
This is also true.