Given :
A Caterer Charges $275 for a 3 hour event and $425 for a 5 hour event.
To Find :
The rate of change for this situation.
Solution :
Price per hour ratio for 3 hour event :
[tex]R_1= \dfrac{275}{3}[/tex]
Price per hour ratio for 5 hour event :
[tex]R_2= \dfrac{425}{5}[/tex]
Now, change in ratio :
[tex]R = R_1-R_2\\\\R = \dfrac{275}{3}-\dfrac{425}{5}\\\\R = \dfrac{100}{15}\\\\R = \dfrac{20}{3}[/tex]
Therefore, rate of change for this situation is [tex]\dfrac{20}{3}[/tex] .
Hence, this is the required solution.
