Will give

which statement best describes a graph of paired points that form a proportional relationship?

a.) a straight line can be drawn through all the points and the line passes through the point (0, 0) .

b.) a straight line cannot be drawn through all the points but the line passes through the point (0, 0) .

c.) a straight line can be drawn through all the points and the line passes through the point (0, 3) .

d.) a straight line can be drawn through all the points and the line passes through the point (3, 0) .

A.) A straight line can be drawn through all the points and the line passes through the point (0, 0)

Step-by-step explanation:

When a line is straight, drawn through all points, and passes through the origin, that is how you know it's proportional.

B. would be incorrect because a line would have to be drawn through tall points to show that it is proportional

C. the first part of c would be correct but a line doesn't have to pass through (0,3) it has to pass through (0,0) also known as the origin

D. This answer is also incorrect. A line always has to pass through (0,0) to be proportional

Hope this helps :D

c

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places