Final answer:
After setting up a system of equations with the given information about the cell phone plans for Bryce and Emmett, we find that the basic plan costs $32.50 and a movie download costs $6.50. However, these values do not match the given answer choices, indicating a potential error in the question or answer choices.
Step-by-step explanation:
To find the cost of a basic plan and the cost of a movie download, we will set up a system of equations using the information provided about Bryce and Emmett's cell phone plans.
Let B be the cost of the basic plan and M be the cost of a movie download. From the information given, we can write two equations:
- B + M = $39 (Bryce's plan)
- B + 2M = $45.50 (Emmett's plan)
We can solve this system of equations by subtracting the first equation from the second to find the cost of one movie download.
(B + 2M) - (B + M) = $45.50 - $39
M = $6.50
Now, we substitute the value of M back into the first equation to find the cost of the basic plan:
B + $6.50 = $39
B = $39 - $6.50
B = $32.50
Therefore, the cost of the basic plan is $32.50 and the cost of a movie download is $6.50. However, none of the given answer choices match these values, suggesting there may be a mistake in the question or the answer choices provided. It's important to double-check the information to ensure accuracy in answering such questions.