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kirill115 [55]
3 years ago
8

The scatter plot shows a scuba diver's depth in the ocean. The equation of the trend link shown is y = -3.29x - 10. Predict what

the diver's depth will be after 30 minutes.
Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0

<u>It's not given a scatter plot not the characteristics of the variables, but it can be safely assumed as shown below</u>

Answer:

<em>The diver's depth will be -42.9 after 30 minutes</em>

Step-by-step explanation:

The equation of the trend (or best fit line) for the scuba diver's depth in the ocean is:

y = -3.29x - 10

Where y is the diver's depth and x is the time in minutes.

To predict the diver's depth at x=30 minutes, substitute in the equation:

y = -3.29(10) - 10

y = -32.9 - 10

y = -42.9

Since no units are provided for y, the answer is:

The diver's depth will be -42.9 after 30 minutes

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Answers:

  1. Exponential and increasing
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Explanation:

Problems 1, 2, and 5 are exponential functions of the form y = a(b)^x where b is the base of the exponent and 'a' is the starting term (when x=0).

If 0 < b < 1, then the exponential function decreases or decays. Perhaps a classic example would be to study how a certain element decays into something else. The exponential curve goes downhill when moving to the right.

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Problems 3 and 4 are linear functions of the form y = mx+b

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vfiekz [6]

Answer:

B) 747.7 \ yd^2

Step-by-step explanation:

Given:

Height of cylinder (h) = 10 yd

Diameter of cylinder (d) = 14 yd

We need to find the surface area of the cylinder.

Solution:

First we will find the radius of the cylinder.

Radius is half of the diameter.

radius (r) = \frac{14}{2} = 7\ yd

Now we know that;

Surface area of cylinder is equal to 2 times π times radius(r) times sum of radius (r) and height (h).

Framing in equation form we get;

Surface area of cylinder = 2\pi r(h+r)

Substituting the given values we get;

Surface area of cylinder = 2\pi \times 7(7+10)= 2\pi \times7\times 17 = 747.699 \yd^2

Rounding to nearest tenth we get;

Surface area of cylinder = 747.7 \ yd^2

Hence the surface Area of cylinder is 747.7 \ yd^2.

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