Question

question
cooper is deciding between two different movie streaming sites to subscribe to. plan a costs $24 per month plus $0.50 per movie watched. plan b costs $9 per month plus $3 per movie watched. let a represent the monthly cost of plan a if cooper watches x per month, and let b represent the monthly cost of plan b if cooper watches x movies per month. write an equation for each situation, in terms of x, and determine which plan would be cheaper if cooper plans on watching 5 movies each month.
answer attempt 1 out of 2
a =
b =
is $ cheaper than when watching 5 movies.
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Explanation:

Step1: Define cost for Plan A

Plan A has a fixed cost of $24 and $0.50 per movie. So the cost equation is \( A = 24 + 0.50x \).

Step2: Define cost for Plan B

Plan B has a fixed cost of $9 and $3 per movie. So the cost equation is \( B = 9 + 3x \).

Step3: Calculate cost for x = 5 (Plan A)

Substitute x = 5 into Plan A's equation: \( A = 24 + 0.50(5) = 24 + 2.5 = 26.5 \).

Step4: Calculate cost for x = 5 (Plan B)

Substitute x = 5 into Plan B's equation: \( B = 9 + 3(5) = 9 + 15 = 24 \).

Step5: Compare costs

Since 24 < 26.5, Plan B is cheaper.

Answer:

For Plan A: \( A = 24 + 0.50x \), when \( x = 5 \), \( A = 26.5 \)
For Plan B: \( B = 9 + 3x \), when \( x = 5 \), \( B = 24 \)
Plan B is cheaper than Plan A when watching 5 movies.