A 14.1 liter fish tank is being filled by 2 water faucets. Water flows out of Faucet A at the rate of 140 milliliters per minute
1 answer:
Answer:
58.75 minutes
Step-by-step explanation:
It is given that the volume of the fish tank is 14.1 liter = 14.1 × 1000 milliliters
Volume of water flows out from faucet A in one minute = 140 milliliters
Volume of water flows out from faucet B in one minute = 100 milliliters
Total volume of water flows out from both the faucets = 140 + 100 = 240 milliliters
Time taken to fill the tank =
=
= 58.75 minutes
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Answer:
<em>y = 255x + 6559</em>
Step-by-step explanation:
<u>Function Modeling</u>
We have the following relationship between the minutes into the ride (x) and the elevation of the tram (y):
x={2,5,9,14}
y={7069,7834,8854,10129}
We first test if the relationship is linear or not.
A linear relationship is tested by calculating the slope from any pair of points.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
Selecting the first two points (2,7069) and (5,7834)
m = 255
Selecting the first two points (5,7834) and (9,8854)
m=255
If we repeat the calculation with any pair of points, we get the same value for the slope, thus we can conclude the relationship is linear.
Using the point-slope form of the line:
y - k = m( x - h )
We select the point (2,7069)
y - 7069 = 255( x- 2 )
Operating:
y - 7069 = 255x - 510
Adding 7069:
y = 255x - 510 + 7069
y = 255x + 6559