Capucine played a game where she earned 179 points for building 11 museums and 4 libraries she earns 4 more points per museum than per library

She earns 9 points per library and 13 points per museum.

Explanation

Lets assume, she earns point per library.

As she earns 4 more points per museum than per library, so the point earned per museum will be:

She earned total 179 points for building 11 museums and 4 libraries. So, the equation will be...

So, she earns 9 points per library and earns (9+4)= 13 points per museum.

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

the answer is 3/2 and for decimal: 1.5

hope i

-lavira: )