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.
Phone Plan Rates Ca0467
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