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2 years ago

This graph shows the rate of a scuba diver's ascent to the surface. What does the y-intercept of the graph represent?

Mathematics

1 answer:

Strike441 [17]2 years ago

7 0

Answer:

D. The scuba diver was 35 meters below the surface of water at the start of the ascent.

Step-by-step explanation:

The y-intercept of the graph representing the scuba's driver ascent to the surface is -35.

This represents the starting level below the surface of the water.

✅-35, means that the driver was 35 meters below the surface of water at the start of the scuba's ascent to the surface.

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What does absolute value mean

Tanya [424]

Here's an example: If you have -9 and it asks for the absolute value of it, it means the opposite. The absolute value of -9 is positive 9.

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3 years ago

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Find the exponential function that satisfies the given conditions: Initial value = 64, decreasing at a rate of 0.5% per week

mrs_skeptik [129]

Answer:

Step-by-step explanation:

An exponential function is of the form

$y=ab^x$

where a is the initial value and b is the growth/decay rate. Our initial value is 64. That's easy to plug in. It goes in for a. So the first choice is out. Considering b now...

If the rate is decreasing at .5% per week, this means it still retains a rate of

100% - .5% = 99.5%

which is .995 in decimal form.

b is a rate of decay when it is greater than 0 but less than 1; b is a growth rate when it is greater than 1. .995 is less than 1 so it is a rate of decay. The exponential function is, in terms of t,

$f(t) = 64(.995)^t$

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3 years ago

Solve the following proportion for u.<br> 17/13=u/4

icang [17]

Answer:

u=5.23

Step-by-step explanation:

$\frac{17}{13} =\frac{u}{4}\\13u=68~by~cross-multiplication\\u=5.23~rounded~to~the~nearest~hundreds$

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3 years ago

The graph below shows the distance, y, in miles, of a bird from its nest for a certain amount of time, x, in minutes:

Montano1993 [528]

Answer:

$0.2$ miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.

Step-by-step explanation:

As there is no graph mentioned here but the information are quite sufficient to answer the question.

We have points $(0,3), (5,4),(10,5)...$

From these points we can find the slope of the line .

From point slope formula $y-y_1=m(x-x_1)$

And assigning $(x,y) (0,3)$ and $(x_1,y_1) (5,4)$

$m=\frac{y_1-y}{x_1-x} =\frac{4-3}{5-0} =\frac{1}{5}=0.2$

This slope is also the speed of the bird which is $0.2\ miles\ per\ minute.$

As by plugging the values of any coordinate point we can confirm this.

Lets put $(10,5)$ , y-axis is the distance so in $10$ minutes the the distance covered by the bird must be equal to to y-axis value which is $5$ miles.