Rhonda took $20 with her to spend on popcorn and candy for herself and her friends at the movie theater. The price for each bag
of popcorn was $5. The price of each box of candy was half the price of a bag of popcorn.
Use one axis to represent the number of bags of popcorn and the other axis to represent the number of boxes of candy. Create an equation and sketch the graph that represents the number of each item she can purchase. Be sure to clearly label the intercepts.
In words, explain your graph and what the intercepts mean in context of the situation.
Use one axis to represent the number of bags of popcorn and the other axis to represent the number of boxes of candy. Create an equation and sketch the graph that represents the number of each item she can purchase. Be sure to clearly label the intercepts.
In words, explain your graph and what the intercepts mean in context of the situation.
1 answer:
The linear equation that represents the scenario is 5x + 2.5y = 20
<h3>How to determine the equation?</h3>The given parameters are:
- Popcorn = $5 per bag
- Candy = $2.5 per bag i.e. half the price of pop corn
Let x represents popcorn and y represents candy.
So, we have:
5x + 2.5y = 20
The intercepts in this case are the maximum number of candy and popcorn Rhonda can buy
See attachment for the graph
Read more about linear functions at:
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Answer:
see the explanation
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠PQS+m∠SQR=m∠PQR ----> equation A (by Addition Angle Postulate)
we have that
m∠PQR=90° ----> equation B given problem (because is a right angle)
substitute equation B in equation A
m∠PQS+m∠SQR=90°
Remember that
Two angles re complementary is their sum is equal to 90 degrees (Definition of complementary angles)
therefore
m∠PQS and m∠SQR are complementary angles
