Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy
\[50\,\text{kg}\] of corn in total for her next order. White corn costs
\[\$0.30\] per kilogram, yellow corn costs
\[\$0.15\] per kilogram, and she wants to spend
\[\$12\] total.
Here's a graph that shows a system of equations for this scenario where
\[x\] is the amount of white corn she buys and
\[y\] is the amount of yellow corn she buys.
A graph with two lines and a point. Line A is labeled 0.30 times x plus 0.15 times y equals 12. Line B is labeled x plus y equals 50. Point C is on line A and above line B.
\[\small{10}\]
\[\small{20}\]
\[\small{30}\]
\[\small{40}\]
\[\small{50}\]
\[\small{60}\]
\[\small{70}\]
\[\small{80}\]
\[\small{10}\]
\[\small{20}\]
\[\small{30}\]
\[\small{40}\]
\[\small{50}\]
\[\small{60}\]
\[\small{70}\]
\[\small{80}\]
\[y\text{ (yellow)}\]
\[x\text{ (white)}\]
\[\greenE{\text{line }a: 0.30x+0.15y=12}\]
\[\blueD{\text{line }b: x+y=50}\]
\[C\]
What does point
\[C\] represent in this context?
Choose 1 answer:
Choose 1 answer:
(Choice A) Marcelina spends the intended amount of money and buys the intended amount of corn.
A
Marcelina spends the intended amount of money and buys the intended amount of corn.
(Choice B) Marcelina spends the intended amount of money and buys more than the intended amount of corn.
B
Marcelina spends the intended amount of money and buys more than the intended amount of corn.
(Choice C) Marcelina spends less than the intended amount of money and buys the correct amount of corn.
C
Marcelina spends less than the intended amount of money and buys the correct amount of corn.
(Choice D) Marcelina spends less than the intended amount of money and buys less than enough corn.
D
Marcelina spends less than the intended amount of money and buys less than enough corn.