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daser333 [38]
3 years ago
14

Question 5(Multiple Choice Worth 1 points)

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Given:

The graph passes through the points (0,-20) and (4,10).

To find:

The equation of line that most closely represents the line depicted in the graph.

Solution:

If a line passing through two points, then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The given line passes through the points (0,-20) and (4,10). So, the equation of line is

y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)

y+20=\dfrac{10+20}{4}(x)

y+20=\dfrac{30}{4}x

y+20=\dfrac{15}{2}x

Subtracting 20 from both sides, we get

y=\dfrac{15}{2}x-20

The function form is

f(x)=\dfrac{15}{2}x-20

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.

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ANSWER TRUTHFULLY WILL NAME YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!
kodGreya [7K]
For each answer, we can plug in the given points:

A) is technically the same as B), but B) expresses correct function notation.

B) 5 = 5(1) ⇒ 5 = 5
     25 = 5(2) ⇒ 25 ≠ 10
     B) is incorrect.

C) I'm not sure what you mean y=5^5=x, but I'm going to use y=5^{x} because it's close to what you wrote:
5=5^{1} =\ \textgreater \ 5=5 \\ 25=5^{2} =\ \textgreater \ 25=25 \\ 125=5^{3} =\ \textgreater \ 125 = 125 \\ 625=5^{4}=\ \textgreater \ 625=625 \\ 3125=5^{5}=\ \textgreater \ 3125=3125
The function y=5^{x} works for the points given.

D) 5 = 1 + 5 ⇒ 5 ≠ 6
     D) is not correct.

Please check your functions; I'm not sure that C) is a function.  In any case, the answer is C) because all the other answers are wrong.
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