The equations of the costs are C1 = 0.24 t and C2 = 0.11 t + 34.95
The number of talk minutes that would produce the same cost for both plans is about 268.85 minutes
You wold have to talk about 4 hours and 28.8 minutes for the two plans to have the same cost
Step-by-step explanation:
You are choosing between two cell phone plans
- The first plan charges 24 cents a minute
- The second charges $34.95 a month plus 11 cents a minute
- t is the number of minutes you talk and C1 and C2 are the costs in dollars of the first and second plans
We need to give an equation of each in terms of t and then find the number of talk minutes that would produce the same cost for both plans, finally, how long would you have to talk for the two plans to have the same cost
∵ The first plan charges 24 cents a minute
- Change the cent to dollar
∵ 1 dollar = 100 cents
∴ 24 cents = 24 ÷ 100 = 0.24 dollar
∴ The first plan charges $0.24 a minute
∵ The number of minutes is t
∵ The cost is C1 in dollar
- Multiply t by 0.24 and equate the product by C1
∴ C1 = 0.24 t
∵ The second plan charges $34.95 a month plus 11 cents a minute
- Change the cent to dollar
∴ 11 cents = 11 ÷ 100 = 0.11 dollar
∴ The second plan charges $34.95 a month plus $0.11 a minute
∵ The number of minutes is t
∵ The cost is C2 in dollar
- Multiply t by 0.11 and the product to 34.95, then equate the sum by C2
∴ C2 = 0.11 t + 34.95
To find the number of minutes that equate the two costs equate
C1 and C2
∵ 0.24 t = 0.11 t + 34.95
- Subtract 0.11 from both sides
∴ 0.13 t = 34.95
- Divide both sides by 0.13
∴ t ≅ 268.85
The number of talk minutes that would produce the same cost for both plans is about 268.85 minutes
∵ 1 hour = 60 minutes
∴ 268.85 minutes = 268.85 ÷ 60 = 4.48 hours
- Change it to hours and minutes
∴ 4.48 hours ≅ 4 hours and 28.8 minutes
You wold have to talk about 4 hours and 28.8 minutes for the two plans to have the same cost
Learn more:
You can learn more about the equations in brainly.com/question/10689103
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