Answer:
Total cost for a day=246 dollars
Hourly rate=10 dollars
Step-by-step explanation:
Let the Total cost be a function of 't' (time),i.e. total cost=R(t)
let R(t)=at+b where a and b are some constants belonging to real numbers
Now substitute t=1 in above equation
R(1)=a+b⇒16=a+b
substitute t=2,
R(2)=2a+b⇒26=2a+b
Now solving a+b=16 and 2a+b=26,
we get a=10 dollars/hour and b=6 dollars
Therefore the cost function is, R(t)=10t+6
where 10 dollars/hour is the hourly rate and 6 dollars is the base charge.
To get the Total charge for one day substitute t=24 in R(t)
⇒R(24)=10*24+6=246 dollars
