Answer:
Range: f
Explanation:
To determine the domain for this scenario, we need to identify the valid input values for the number of miles, m. In this case, the domain represents the set of all possible values for m that make sense in the context of the problem.
Since Kayla needs a ride to the mall and only has enough money to pay for 11 miles, we can conclude that the maximum number of miles she can travel is 11. Therefore, the domain for this scenario would be:
Domain: m ≤ 11
In other words, the valid values for the number of miles, m, are any non-negative numbers up to and including 11.
Next, let's determine the range for this scenario. The range represents the set of possible output values for the fare, f, based on the given function.
In the function f = 3m + 5, the fare is calculated by multiplying the number of miles, m, by 3 and adding 5 to the result.
To find the range, we can consider the minimum and maximum possible values for the fare.
Minimum fare: When m = 0 (no miles traveled), the fare would be 3(0) + 5 = 5.
Maximum fare: When m = 11 (maximum number of miles Kayla can afford), the fare would be 3(11) + 5 = 38.
Therefore, the range for this scenario would be:
Range: 5 ≤ f ≤ 38
In other words, the fare, f, can take on any value between 5 and 38, inclusive.
By identifying the domain and range for this scenario, we can understand the valid input values and the possible output values within the context of the problem.