7. Franky’s Trail Mix Factory gives customers the information in the table below. Use the pattern in the table to answer the questions.
a. Fiona eats 75 grams of trail mix. How many
Calories does she eat?
b. Rico eats trail mix containing 1,000 Calories.
How many grams of trail mix does he eat?
c. Write an equation to represent the number
of Calories in any number of grams of
trail mix.
d. Write an equation to represent the number
of grams of trail mix that will provide any
given number of Calories.

8. At camp, Miriam uses a pottery wheel to make 3 bowls in 2 hours.
Duane makes 5 bowls in 3 hours.
a. Who makes bowls faster, Miriam or Duane?
b. How long will it take Miriam to make a set of 12 bowls? 9 hours
c. How long will it take Duane to make a set of 12 bowls? 6 hours

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

answer: i realy don't get it that much can you me figer it out pleas you

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