Afamily of four had dinner together at a restaurant. write two expressions for calculating their total bill if they leave a 15% tip. let c represent the cost of their meal before tipping.

Expression of total bill is t = 1.15c where t represents total bill and c represents cost of the meal before tipping.

Solution:

Given that family of four had dinner together at restaurant.

Percentage of tip left by family = 15%

Cost of the meal before tipping is represented by variable c.

Need to determine expression for total bill paid.

Let’s assume total bill be represented by variable t.

total bill = cost of the meal before tipping + 15% of tip

15% of tip means 15% of cost of meal before tipping.

=> Total bill = cost of the meal before tipping + 15% of cost of meal before tipping.

 On substituting given variable c and assumed variable t in above expression, we get

t = c + 15% of c

Hence required expression of total bill is t = 1.15c where t represents total bill and c represents cost of the meal before tipping.

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2