Julio is planning activities for a trip that lasts from Thursday to Sunday. He is interested in visiting a museum, hiking the tr
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Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.
<h3>What is a linear function?</h3>A linear function is modeled by:
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is , the slope is of
, and the function is:
For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is , the slope is of
, and the function is:
The plans cost the same for x minutes of calling, considering that:
The two plans cost the same for 5000 minutes of calling.
To learn more about linear functions, you can take a look at brainly.com/question/24808124
Answer:
Kennan will be from home approximately an hour and 48 minutes.
Step-by-step explanation:
We must know that total time () that Keenan will be from home is the sum of run (
), hang out (
) and walk times (
), measured in hours:
If Keenan runs and walks at constant speed, then equation above can be expanded:
Where:
,
- Run and walk distances, measured in miles.
,
- Run and walk speeds, measured in miles per hour.
Given that ,
,
and
, the total time is:
(
)
Kennan will be from home approximately an hour and 48 minutes.