Bao has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $19 per hour to
work at the grocery store and $20 per hour to work at the nursery. How much
does she earn if she works 6 hours at the grocery store and 10 hours at the
nursery? How much does she earn if she works g hours at the grocery store
and n hours at the nursery?

She gets $114 to work at grocery store for 6 hours and $200 at the nursery.

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