Subjects algebra

Phone Plan Rates Ca0467

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1. **State the problem:** We need to find which company, Talk-n-Text or Country Connect, charges a lower rate per minute and by how much. 2. **Identify the rates:** For Talk-n-Text, the cost and minutes are given in the table: - 30 minutes costs 6 dollars - 50 minutes costs 10 dollars - 90 minutes costs 18 dollars 3. **Calculate the rate per minute for Talk-n-Text:** Since the relationship is proportional, the rate per minute is constant. Calculate it using any pair: $$\text{Rate} = \frac{\text{Cost}}{\text{Minutes}}$$ Using 30 minutes and 6 dollars: $$\frac{6}{30} = 0.2$$ Using 50 minutes and 10 dollars: $$\frac{10}{50} = 0.2$$ Using 90 minutes and 18 dollars: $$\frac{18}{90} = 0.2$$ All give the same rate, confirming proportionality. 4. **Identify the rate for Country Connect:** The equation is given as: $$y = 0.15x$$ This means the rate per minute is 0.15 dollars. 5. **Compare the rates:** - Talk-n-Text rate: $0.2$ per minute - Country Connect rate: $0.15$ per minute 6. **Calculate how much less Country Connect charges per minute:** $$0.2 - 0.15 = 0.05$$ **Final answer:** Country Connect charges $0.05$ less per minute than Talk-n-Text.