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Serjik [45]
2 years ago
9

Write an equation based on the graph. Please help 15 points!

Mathematics
2 answers:
Alika [10]2 years ago
8 0

Answer:

The equation is y = - 3x - 3

Step-by-step explanation:

Step 1:

Equations always start with y = (unless you are in grade 11) in which case you start with f(x) =

Step 2:

Use rise over run to find the slope (since its based on graph, if not there is a formula to find it when given coordinate points only)

So to use rise over run, you count how many squares upwards starting from a point that aligns in the graph (in this case the bolded dots)

So you start at (-2, 3) and count how many squares up or down to the next bolded dot (if its up its positive, if you have to go down then its negative).

Then once youve reached the same y-value as the the other dot, count how many squares to the right.

So in this case, you have to go down 6 times and right 2 times.

So as a fraction its -6/2 but that can be simplified to just -3

So thats the slope: -3

Step 3

then you need to find the y-intercept (where the line touches the y-axis)

Its easy: you can visually see that the line crosses at -3.

and the format for the equation is y = mx + b

m = slope

b= y-intercept

SO: y= -3x - 3

Brainliest?

nignag [31]2 years ago
5 0

Answer should be:

y = -3x - 3

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A tank with a capacity of 100 gallons initially contains 50 gallons of water with 10 pounds of salt in solution. fresh water ent
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Let A(t) be the amount of salt (in pounds) in the tank at time t. We're given thatA(0)=10\text{ lb}.

The rate at which the amount of salt in the tank changes is given by the ODE

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Given that A(0)=10, we find that

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so that the amount of salt in the tank is described by

A(t)=\dfrac{500}{50+t}

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