Three consecutive integers are n, n+1, and n+2. Four times the sum of the least and greatest integers is 12 less than three time
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Given:
y varies directly with x,
It is given that y = 7 when x = -9.
To find:
The value of y when x = 27 for the direct variation.
Solution:
It is given that y varies directly with x, so
...(i)
Where, k is the constant of proportionality.
It is given that y = 7 when x = -9. Putting these values in (i), we get
Putting in (i), we get
Putting , we get
Therefore, the required value is .
Answer:
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- The cost of surfing the web at the café for one hour:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Take two points and substitute them into the formula for calculate the slope (The formula is ).
Having these points:
and
You can identify that:
Then, the slope is:
Substitute the slope and the coordinates of any point on the line into the equation and then solve for "b":
Therefore, equation in Slope-Intercept form that represents the function is:
Since 1 hour hour has 60 minutes, you need to substitute into the equation and then evaluate, in order to find the cost of surfing the web at the café for one hour. Then: