Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. using this information, choose the best representation of the final price of a gaming system with the discount and taxes applied.

a.) c(p) + p(g) = 1.92g
b.) c[p(g)] = 0.896g
c.) g[c(p)] = 1.92p
d.) c(p) ⋅ p(g) = 0.896pg

B.

Step-by-step explanation:  

We have been given that gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g.

We are also given that local taxes are an additional 12% of the discounted price, so final price of gaming system will be 0.8g plus 12% of 0.8g.

Upon factoring out 0.8 we will get,

We can see that this is a composite function as:

Upon substituting p's value in 2nd function we will get,

Therefore, the composite function represents the final  price of a gaming system with the discount and taxes applied and option B is the correct choice.

the monthly balance will be $75,000