A bird flies at 15 feet per second directly to a branch from their birdhouse. The bird stays on the branch for 10 minutes, then flies directly back to the birdhouse at 18 feet per second. It is out of
the birdhouse for a total of 15 minutes. How far is the branch from the birdhouse?
1. What is the variable we are trying to find in this case? (time, speed, distance... etc)
2. In words, model the equation that would help us solve this problem.
3. Create an equation and solve.

d) -1

step-by-step explanation:

answer: are 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