HELP ME PLEASE

Mathematics

1 answer:

Oduvanchick [21]3 years ago

5 0

Answer:

See answer below

Step-by-step explanation:

In this case, we can assume that this function follows a linear function. In this case, the general expression would be:

y = a + bx

Where:

a: Y intercept

b: slope of the function

To get the slope we need to apply the following expression:

b = y₂ - y₁ / x₂ - x₁

We already have two points, (80,0) and (40,16) from here, we can determine the slope:

b = 16 - 0 / 40 - 80

b = -16/40

b = -2/5

Now that we know the slope, we can determine the y-intercept if it have:

a = y - bx

Using any point, we can calculate it:

a = 0 - (-2/5*80)

a = 0 + 160/5

a = 32

With these two values, we can write the function:

Hope it helps

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3 years ago

Kelsey, a marine biologist, has determined that the population (y) of Blue Whales off the coast of Antarctica varies with time,

Marrrta [24]

Answer: The answer is (A) [0,100].

Step-by-step explanation: Given in the question that a marine biologist Kelsey determined that the population of Blue Whales off the coast of Antarctica varies with time as shown in the given graph.

The population of Blue Whales (y) is plotted on the Y-axis and the time in months (x) is plotted on the X-axis.

We need to find the range of the population of Blue Whales off the coast of Antarctica from 0 to 10 months.

We can see from the attached graph that

when x = 0, then y = 0,

when x = 10, then y = 100.

That is, when time varies between 0 to 10 months, then the population of Blue Whales varies between 0 and 100.

Thus, the correct option is (A) [0,100].