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2 years ago

The graph shows the girth, in cm, of the trunk of a fir tree after different numbers of years:(Graph image may be below)

Mathematics

2 answers:

kondaur [170]2 years ago

8 0

Answer:

Option A is correct.

the girth increases by 7 cm each year.

Step-by-step explanation:

Let y axis represents the girth in cm of the trunk of a fir tree and

x axis represents time in years.

Using the formula for slope : For any two points $(x_1 , y_1)$ and $(x_2 , y_2)$ the slope of the line(m) is given by:

$m =\frac{y_2-y_1}{x_2-x_1}$

From the graph:

Take any two points to find the slope of the line:

Let two points be (0, 5) and (5, 40)

Then, by the formula of slope:

$m =\frac{40-5}{5-0}=\frac{35}{5}$ = 7.

Therefore, The girth increases by 7 centimeters each year.

kupik [55]2 years ago

3 0

This is a linear function: y = mx + b, where m = slope and b, the value of y when x = 0

Having said that, the equation becomes : y = 7x+5

And the slope of the graph represents : A)The girth increases by 7 centimeters each year

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2 years ago

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2 years ago

Read 2 more answers

Pecans that cost $28.50 per kilogram were mixed with almonds that cost $22.25 per kilogram. How many kilograms of each were used

atroni [7]

Answer:

The pecans used in the mixture = 8 kg

The almonds used in the mixture = 17 kg

Step-by-step explanation:

The cost of per kg of pecans = $28.50

The cost of per kg of almonds = $22.25

Now, total weight of mixture = 25 kg

Let us assume the weight of pecans in the mixture = m kg

So, the amount of almonds in the mixture = Total weight - Weight of Pecans

= (25 - m) kg

Now, cost of m kg pecans = m x ( cost of 1 kg pecans) = m x ( $ 28.50)

= 28.50 m

cost of (25- m) kg almonds = (25 -m) x ( cost of 1 kg almonds)

= (25 - m) x ( $ 22.25)

= 556.25 - 22.25 m

Total cost of 25 kg of mixture = 25 x ( $24.25) = $606.25

Now, Total Cost of (almonds + Pecans) = Total cost of mixture

⇒28.50 m + 556.25 - 22.25 m = $606.25

or,6.25 m = 50

or, m = 50/6.25 = 8

Hence, the pecans used in the mixture = m = 8 kg

And the almonds used in the mixture = (25 - m) = 25 - 8 = 17 kg

5 0

2 years ago

At 11:00 a.M., there are 400 members and 150 non-members visiting a museum. After 11:00 a.M., 10 members leave every five minute

alexdok [17]

Answer:

$16:27$

Step-by-step explanation:

GIVEN: At $11:00\text{ A.M.}$ , there are $400$ members and $150$ non-members visiting a museum. After $11:00\text{ A.M.}$ , $10$ members leave every five minutes and $5$ non-members arrive every five minutes.