What is the best formula to use? The percentage of Deatrice's income that she budgets each
month for different expenses is shown in the circle graph
below.
Deatrice budgets $900 for food each month. Based on the
circle graph, what is the total amount she budgets for
housing each month?
Deatrice's Monthly Budget
Other
Entertainment
1394
7. What are the steps to solve?
10%
Utilities
10%
Housing
45%
Food
305
A. $945
B. $1050
C. $1200
D. $1350

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

same question do you know the answer