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tatyana61 [14]
4 years ago
6

Alexandra is climbing a tree that is 105 feet tall. She has climbed 70 feet so far. if f= the number of feet remaining, which gr

aph best shows this situation?

Mathematics
2 answers:
Alex17521 [72]4 years ago
5 0
Right answer is B. If we have f equal the amount of her remaining way so f it will be the difference between the way she has gone and her finish line. So we have 70 in the approximate middle of her way and F is between 70 feet and 105 feet, so 105=70+F
Ratling [72]4 years ago
5 0

Answer:

Option B is the right answer.

Step-by-step explanation:

Given is - Alexandra is climbing a tree that is 105 feet tall. She has climbed 70 feet so far.  

This means Alexandra has covered 70 feet and final point is 105 feet.

f is the remaining distance;  

So,105=f+70

So, option B is the right answer.

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Answer:

y=\frac{\displaystyle 1}{\displaystyle 7}x+\frac{\displaystyle15}{\displaystyle 7}

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\frac{\displaystyle y_2-y_1}{\displaystyle x_2-x_1} where two given points are (x_1,y_1) and (x_2,y_2)

Plug in the given points (-1, 2) and (6, 3):

m=\frac{\displaystyle 3-2}{\displaystyle 6-(-1)}\\\\m=\frac{\displaystyle 3-2}{\displaystyle 6+1}\\\\\m=\frac{\displaystyle 1}{\displaystyle 7}

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y=\frac{\displaystyle 1}{\displaystyle 7}x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=\frac{\displaystyle 1}{\displaystyle 7}x+b

Plug in one of the given points and solve for <em>b</em>:

2=\frac{\displaystyle 1}{\displaystyle 7}(-1)+b\\2=-\frac{\displaystyle 1}{\displaystyle 7}+b

Add \frac{\displaystyle 1}{\displaystyle 7} to both sides to isolate <em>b</em>:

2+\frac{\displaystyle 1}{\displaystyle 7}=-\frac{\displaystyle 1}{\displaystyle 7}+b+\frac{\displaystyle 1}{\displaystyle 7}\\\\\frac{\displaystyle15}{\displaystyle 7} =b

Therefore, the y-intercept of the line is \frac{\displaystyle15}{\displaystyle 7}. Plug this back into y=\frac{\displaystyle 1}{\displaystyle 7}x+b:

y=\frac{\displaystyle 1}{\displaystyle 7}x+\frac{\displaystyle15}{\displaystyle 7}

I hope this helps!

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