1. Determine whether the relation is a function.
A: ?
2. A commuter has $75. Each day's commute costs $3.50. Write a function to represent the total amount the commuter has remaining after d days. What is the value of the function for an input of 5, and what does it represent?
A: ?
r(d) = 75.00 - 3.50d
yes
1. To determine whether a relation is a function, we need to check if each input value corresponds to only one output value. In other words, each input should not have more than one output.
To determine if the given relation is a function, we would need more information such as the specific inputs and outputs. Without this information, it is not possible to determine if the relation is a function.
2. Let's define the function.
Let R(d) be the total amount the commuter has remaining after d days.
The function can be represented as: R(d) = 75 - 3.50d, where d is the number of days.
To find the value of the function for an input of 5, we substitute d = 5 into the function:
R(5) = 75 - 3.50(5) = 75 - 17.50 = 57.50
The value R(5) = 57.50 represents the total amount the commuter has remaining after 5 days.
To determine whether a relation is a function, we need to check if there is only one output value (y-value) for each input value (x-value).
For question 1, you haven't provided any specific relation for me to analyze. Could you please provide the relation so that I can help you determine whether it is a function?
For question 2, we can define a function to represent the total amount the commuter has remaining after d days. Let's call this function T(d) for Total amount remaining after d days.
To write the function, we need to know the starting amount the commuter has, and the cost of each day's commute. In this case, the starting amount is $75 and the cost of each day's commute is $3.50.
The function T(d) can be written as:
T(d) = 75 - 3.50d
To find the value of the function for an input of 5, we substitute d = 5 into the function:
T(5) = 75 - 3.50(5) = 75 - 17.50 = 57.50
So, the value of the function for an input of 5 is $57.50.
This represents the total amount the commuter has remaining after 5 days of commuting, considering the starting amount of $75 and deducting the cost of each day's commute.