The cost y (in dollars) of renting a segway for x hours is y=30x+25. Find the initial fee and the cost per hour.
1 answer:
Given:
The cost y (in dollars) of renting a segway for x hours is
To find:
The initial fee and the cost per hour.
Solution:
We have,
...(i)
The slope intercept form of a linear equation is
...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get
The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.
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Answer:
( 0 < y < 23 / 6 ) mins
Step-by-step explanation:
Solution:-
We will define a variable ( x ) as the time it took for Jo Anne to give her speech at home.
The time taken to give her speech must always be less than 4 minutes. We can express this mathematically using an inequality as follows:
( 0 < x < 4 ) minutes
Jo Anne gave her speech which was 10 seconds less than the one she practised at home. We will convert the time in seconds to minutes as follows:
The time taken by Jo Anne to complete her speech in English class can be represented as:
y = x - 1/6
Using the range of time that Jo Anne could take in delivering her speech in the class would be:
0 < x < 4
0 - 1/6 < y < 4 - 1/6
-1/6 < y < 23 / 6
Since time can not be less than zero. We correct the lower limit to " 0 " as follows:
( 0 < y < 23 / 6 ) mins