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koban [17]
3 years ago
5

B. Write the equation in slope intercept form. (y=mx + b). Remember, m is the slope, b is the y intercept (where x=0).

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

y=5x+10

Step-by-step explanation:

Use two points from the table: (1, 15) and (2, 20) to find m (m=\frac{y_2-y_1}{x_2-x_1})

m=\frac{20-15}{2-1}

m=5

Use another point from the table as x and y: (25, 3) in the equation y=mx+b (we just found m=5). Solve for b

y=mx+b

25=5(3)+b

10=b

Therefore, knowing m and b the equation in slope intercept form is:

y=5x+10

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PLEASE help !!! I’m struggling and I suck at math. Can someone answer this for me? For points and brainly !
Helen [10]

Answer:

\huge\boxed{2329 \ \text{pounds}}

Step-by-step explanation:

In order to solve this equation, let's see what we already know.

  • We know two points on the graph <em>which we can use to find the slope</em>

That's about it.

However, this can come useful to find the slope between the two points, which is the slope for the entire graph (since this is linear). The slope between two points is usually defined as \frac{\Delta y}{\Delta x} (change in y / change in x). Our two points are (18, 2017) and (48, 2212).

The change in y between our two points is 2212-2017 = 195, and the change in x is 48 - 18 = 30. Our slope will then be \frac{195}{30}, which comes out to be approximately 6.5. Therefore, our slope is 6.5.

Now that we know the slope, we can substitute inside our equation in slope intercept form.

y = 6.5x+b

We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.

  • 2017 = 6.5 \cdot18 + b
  • 2017 = 117 + b
  • 1900= b

Now that we know our y-intercept is 1900, we can create our equation by using the slope and the y-intercept.

y=6.5x+1900

Finally, to find the weight of the plane with 66 pounds of fuel, we can substitute 66 inside this equation as x.

  • y = 6.5 \cdot66+ 1900
  • y = 429+1900
  • y=2329

So the plane weighed 2329 pounds with 66 gallons of fuel.

Hope this helped!

7 0
3 years ago
Read 2 more answers
Factories fully 6m^2+8mp
Bond [772]
Can you put a picture of the passage
8 0
3 years ago
Jeans are reduced from 28.00 to 18.20 during a sale at a department store. What percentage was the original price reduced?
Natali [406]

Answer:

The original price was reduced 35%

Step-by-step explanation:

we know that

Jeans are reduced from $28.00 to $18.20

In this problem

The original price of 28.00 represent 100%

so

using proportion

Find out what percentage represent the difference between the original price and the new price

\frac{28}{100}=\frac{28-18.20}{x}\\\\x=100(9.8)/28\\\\x=35\%

therefore

The original price was reduced 35%

6 0
3 years ago
Express 5/4 as a mixed number and show the work
SCORPION-xisa [38]

Answer:

5/4 as a mixed number = 1\frac{1}{4}

5 0
4 years ago
Please can someone help please
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Answer:

A. 10.2

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