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A cable company charges $95 for installation plus $45 per month. If you paid $455 over a period of time, how many months did you
1 answer:
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Answer:
36 hours.
Step-by-step explanation:
Let x represent time taken by both pipes to fill the tank.
We have been given that an inlet pipe can fill a swimming pool in 9 hours. So part of pool filled by inlet pipe in one hour would be .
We are also told that an outlet pipe can empty the pool in 12 hours. The part of pool emptied by outlet pipe in one hour would be .
Sine the time taken by both pipes to fill the tank is x hours, so part of pool filled by both pipes in one hour would be .
We will get an equation using our given information as:
Let us solve for x.
Cross multiply:
Therefore, it will take 36 hours for both pipes to fill the tank.
Answer:
We conclude that the rule for the table in terms of x and y is:
- y = 3x+2
Step-by-step explanation:
The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.
We know the slope-intercept form of the line equation
y = mx+b
where m is the slope and b is the y-intercept.
Taking two points
- (-2, -4)
- (-1, -1)
Finding the slope between (-2, -4) and (-1, -1)
We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.
Taking another point (0, 2) from the table.
It means at x = 0, y = 2.
Thus, the y-intercept b = 2
Using the slope-intercept form of the linear line function
y = mx+b
substituting m = 3 and b = 2
y = 3x+2
Therefore, we conclude that the rule for the table in terms of x and y is:
- y = 3x+2