Define x as the distance in miles. This scenario can be expressed with the inequality 0.5x + 3 < 10, where x corresponds to the miles traveled. To solve this, begin by subtracting 3 from each side, followed by dividing everything by 0.5. The outcome indicates x < 14, meaning Carl can cover less than 14 miles, though he is 15 miles away from his destination; therefore, he will opt for a bus instead.
The initial step is to analyze the graph's behavior.
It doesn’t follow a linear pattern, as the rate of change is inconsistent.
It also isn’t exponential since the change rate doesn't fluctuate significantly.
For this scenario, the most suitable regression model would be of the type:

Where,
a <0: This indicates that the parabola opens downwards.
Hence, the most appropriate regression model is quadratic.
Answer:
From visual analysis, the most fitting regression model for the data observed is:
A. Quadratic
Answer:
The total capacity of the tank is 14 1/2 gallons or 29/2.
The size of bucket is 1 1/4 gallons, equal to 5/4.
The expression representing this situation can be
29/2 divided by 5/4.
Therefore, the number of buckets applied equals 29/2 multiplied by 4/5.
Visualizing the scenario is advantageous; creating a diagram would show a right triangle where the base measures 100 ft and the height is 25 ft. We can easily determine the angle using trigonometric functions as follows:
tan(theta) = 25 / 100
theta = 14.04 degrees
Answer: E. The sizes of shoes available for sale in a department store
Step-by-step explanation:
A continuous variable is characterized by:
- a quantitative variable capable of taking an infinite number of values between any two points.
- a measurement of a quantity such as height, weight, length, etc.
In this scenario, options A through D represent discrete variables that can be counted.
Only option E describes the measurement pertaining to shoe sizes.
Thus, "The sizes of shoes available for sale in a department store" defines a continuous variable.
Therefore, the correct choice is "E".