3h(2) + 2k(3) evaluate
2 answers:
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<h2>Answer</h2>
Draw a graph which joins the points (100, 120) and (50, 95) and has a slope = 0.50
<h2>Explanation</h2>A graph of y against x means that x is the independent variable and y is the dependent variable. Notice that the charge (y) depends on the number of minutes (x). Therefore, the points that we are going to join to make our graph will have coordinates (x, y)
We know that the company charges $120 for 100 minutes, so x=100 and y=120. Therefore, our first point will be (100, 120)
We also know that the company charges $95 for 50 minutes, so x=95 and y=50. Therefore, our second point will be (50, 95)
Now, to find the slope between our tow points, we are going to use the slope formula:
where
are the coordinates of the first point
are the coordinates of the second point
We know from our points that ,
,
, and
. So let's replace those values in our formula to find
Now that we have our slope, we can use the point-slope formula to complete the equation of the line joining our two points
Answer:
Step-by-step explanation:
We are given that
Volume,V=250 L
Mass of salt=m=40 g
Brine containing 1 g per liter
Pumped into the tank at the rate=5 L/min
We have to find the number A(t) of grams of salt in the tank at time t.
Rate of change of salt in the tank
Rate in-Rate out
Rate in=5 L/min
Rate out= L/min
Using the formula
A=40 and t=0
Substitute the value