Answer:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
Step-by-step explanation:
Based on the details provided:
Employees with less than 3 years receive an increase of $0.50 hourly
Employees with at least 3 years but under 6 years receive $1.00 increase hourly
Employees with a minimum of 6 years and less than 9 get $1.50 increase hourly
Employees with at least 9 years but below 12 years receive $2.00 increase hourly
This information can be expressed as a piecewise function:
________{0.50 if x < 3
________{1.00 if 3 ≤ x < 6
f(x) = ____{1.50 if 6 ≤ x < 9
________{2.00 if 9 ≤ x < 12
The conditions are outlined in the piecewise function above with x indicating the number of years employed.
Answer:
Step-by-step explanation:
Aligning each vocabulary term with its relevant example:
(1). All Americans = f. Population (a collective of items or subjects studied, e.g., residents of an area, the number of vehicles in a city, or employees in a workplace)
(2). The percentage of all Americans who strongly believe prisoners with life sentences who develop Alzheimer's should be released = c. Parameter (the figure summarizing a characteristic of a population)
(3). The percentage of the 85 surveyed Americans who strongly feel that prisoners with life sentences who have Alzheimer's should be released = d. Statistic (the characteristic of a sample that corresponds to a population parameter used for statistical inference)
(4). The responses being 'Strongly Agree', 'Agree', 'Disagree', or 'Strongly Disagree' = b. Variable (any measurable quality or characteristic)
(5). The 85 individuals surveyed = e. Sample (a subset of a population chosen based on certain criteria)
(6). The array of responses provided by the 85 participants = a. Data (the collected pieces of information meant for analysis)
It's option C.
The value escalates threefold compared to the last step.
All other function values increase by a constant amount, resulting in linear behavior
A cyclist maintains a consistent speed of 12 miles per hour over a period of 45 minutes.
We apply the formula, Distance = speed * time
With a constant speed of 12, it reflects a linear relationship.
The equation is represented as d = 12t, where t stands for time and d signifies distance.
At the origin, t=0 and distance d=0. At the conclusion, t=45 min = 0.75 hours and consequently, distance is 12 * 0.75 = 9.
Thus, the domain (t) is { }
Range (d) is { }
Answer:

Step-by-step explanation:
Pepita and Francisco allocate equal amounts of time to their homework. The table indicates how they distribute their time across various subjects.

Pepita dedicated

to English and Science.
Thus, she utilized

for Math.
On the other hand, Francisco spent

on Math and Science, resulting in him spending

on English.
The table displays:
