7b) A bag of fun-sized Twix bars contains 20 candy bars weighing 30 ounces. The line represents the relationship between the number of Twix bars and the total weight. The point (1, 1.5) is on the line. Write an equation that represents the proportional relationship between Twix bars and their weight. Indicate the meaning of each variable.

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

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

the answer is d

hope this