Mrs. treble charges her music students $25 per lesson plus a recital fee of $50. How many lessons can a student take if he/she does not want to pay more than $175?

2 lessons

Step-by-step explanation:

$25+$50=$75

$25+$50=$75

$75+$75=$150

$150 for 2 lessons not passing the budget of $175

(-5,-28)

i graphed to on desmos.

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