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Juli2301 [7.4K]
3 years ago
12

3.2.4 practice modeling slope-intercept Equation of a line

Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:

this is from apex

Step-by-step explanation:

1. Which option did you choose? Discuss with another student why you made the choice you made. (1 point)

Troposphere (above the surface)  because it looks simpler.

what do you know? the upper crust of the Earth is the layer extending 10 to 40 km beneath the surface. The surface temperature averages 15 degrees Celsius and increases 25 degrees Celsius with each kilometer of depth

what do you want to find out? The range of temperatures I would expect to encounter while traveling within the boundaries of the upper crust.

what answers do you expect to find? a range of temperatures (duh).

Writing an Equation

2. Define the variables you will use in your equation. (1 point)

Let one variable be the distance away from the surface and the other variable be the temperature.

D for distance and T for temperature.

The y-intercept is the starting position at Earth's surface. The coordinates of the y-intercept are (0, the temperature at Earth's surface).

3. What is the b-value of the y-intercept for your equation? (1 point)

15, I finally figured it out after 2 days lol.

The slope is the rate of change for temperature.

If the temperature increases (gets hotter) as the distance from the surface increases, then the slope is positive.

If the temperature decreases (gets colder) as the distance from the surface increases, then the slope is negative.

4. What is the slope of your equation? (1 point)

the slope of my equation is... positive!

5. Write an equation that models the relationship between your variables. (1 point)

umm, let's see... y= 25x+15 with x being each kilometer down from the surface temp. (15).

or if you just need the "equation" equation, then its y=mx+b

Interpreting the Equation

6. Identify and explain what each term represents in the temperature model.

a) The slope (1 point)

25

b) The y-intercept (1 point)

15

Graph the line

7. Identify three points on your line. (1 point)

(10,265) (11,290) (12,315)

8. Using the coordinates from question 7, calculate the slope of your line. Does it match the slope from your model? (2 points)

the slope of my line is 25, just like in my model. (wow magical)

Graph the Equation

9. On the graph below, plot the points and sketch your line. (4 points: 1 for each graphed point, 1 for the line)

see attachment.

Find the Temperature Range

10. Complete the sentence for your layer. (1 point)

The upper crust is the region that starts at Earth's surface and ends between 10 km and 40 km below the Earth's surface.

Use the temperature equation to find the temperature range for your layer.

range: between 265 degrees Celsius and 1015 degrees Celsius. (10km - 40 km)

11. What is the temperature at the end of your layer that is farthest from the surface? (1 point)

1015 degrees celsius.

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Answer:

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Which table most likely relates the height, h(t), in meters, over time, t, in seconds, of a ball dropped from above
MakcuM [25]

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A 2-column table with 4 rows. The first column is labeled t with entries 0, 2, 4, 6. The second column is labeled h(t) with entries 100, 80.4, 21.6, negative 76.4. (this is the 2nd table) I just got this correct on Edg.

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Find BOTH the X and Y intercepts of the equation.<br><br> 7x + 3y = -21
Anton [14]
Plug in 0 for y to find the x intercept:
7x +3(0)= -21
7x=-21
x= -3

Plug in 0 for x to find y intercept:
7(0) + 3y= -21
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3 years ago
Determine the diameter, to the nearest inch, of a large can of tuna fish that has a volume of 66 inches and a height of 3.3 inch
Tema [17]

The diameter of the tuna fish is 5.048 inches, If it has a volume of 66 inches and a height of 3.3 inches.

Step-by-step explanation:

The given is,

         A volume of tuna fish is 66 inches

         Height of tuna fish is 3.3 inches

Step:1

        Let, V - Volume of the tuna fish

               h - Height of tuna fish

        Where,

               V - 66 cubic inches

               h - 3.3 inches

Step:2

      Formula to calculate the area is,

                Area, A = \frac{Volume}{Height}

                              = \frac{66}{3.3}

                          A = 20 square inches

Step:3

     Formula to calculate the radius,

                     Radius,  r^{2}  = \frac{A}{\pi }

                                   r^{2} = \frac{20}{3.14}

                                    r  = \sqrt{6.36943}

                                   r = 2.524 inches

Step:4

       Formula to calculate the diameter,

                                    d=2r

                                       = 2 × 2.524

                                  d = 5.048 inches

Result:

       Thus the diameter of the tuna fish is 5.048 inches, If it has a volume of 66 inches and a height of 3.3 inches.

7 0
3 years ago
Question 1 (Essay Worth 10 points) (07.02 MC)
Vadim26 [7]
Part A:
Side 1 + side 2 + side 3 = 11z2 + 4z − 6 + 4z − 7 + 12z2 <span> −8 + 13z2 + 4z
                                       = 11z2 + 12z2 + 13z2 + 4z + 4z + 4z - 6 - 7 - 8
                                       = 36z2 + 12z -21

Part B:
</span>The parameter of the trapezoid is the summation of the lengths of its four sides, thus:
Side 4 = Parameter - (side 1 + side 2 + side 3)
           = Parameter - output of part A
           = <span>7z3 + 42z2 − 15z + 1 - 36z2 - 12z + 21
           = 7z3 + 6z2 - 27z +22

Part C:
</span>For a polynomial to be closed under addition and subtraction operations, the performance of these operations on the polynomial should give a new polynomial.
Since the addition in Part A and the subtraction in Part B both resulted in new polynomials, thus, the answers of these two parts show that polynomials are closed under addition and subtraction.
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3 years ago
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