Question

A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walkercharge for a 45 minute walk? Write an equation in function notation for the situation, and then use it tosolve the problem. Determine if the given statement is True or False.

Answer 1

hello

from the question given, the dog walker charges a flat rate of $6 and an extra $30 per hour.

we can write out an equation in function notation

let the number of hours be represented by x

`f(x)=6+30x`

now we can proceed to solve the cost of the walk for 45 minutes

`\begin{gathered} 1hr=60\min s \\ \text{xhr}=45\min s \\ x=(45)/(60) \\ x=(3)/(4) \\ \text{therefore 45mins = 3/4 hours} \end{gathered}`

now we can input the value into the equation and know the cost for 45 minutes walk

`\begin{gathered} f(x)=6+30x \\ x=(3)/(4) \\ f(x)=6+30((3)/(4)) \\ f(x)=6+22.5 \\ f(x)=28.5 \end{gathered}`

from the calculation above, the cost of 45 minutes walk will cost $28.5