The table represents a bicycle rental cost in dollars as a function of time in hours.

a table showing bicycle rental with 2 columns and 6 rows. the first column, time in hours, has the entries, 0, 2, 4, 6, 8. the second column, cost in dollars, has the entries, 0, 10, 20, 30, 40.
which explains whether or not the function represents a direct variation?

this function represents a direct variation because it passes through the origin and has a constant rate of change of $5 per hour.
this function represents a direct variation because it has a positive, constant rate of change of $10 per hour.
this function does not represent a direct variation because it does not represent the cost for 1 hour.
this function does not represent a direct variation because the function rule for the cost is to add $10, not multiply by a constant.

One number is 4 less than 3 times a second number. if 3 more than two times the first number is decreased by 2 times the second number, the result is 11. use the substitution method. what is the first number?

Drag each number to the correct location on the statements. not all numbers will be used. consider the sequence below. -34, -21, -8, 5, complete the recursively defined function to describe this sequence

Which scenarios are most effectively explored by conducting an experiment? there is more than one correct answer. select all that apply. researchers want to study the effectiveness of a particular drug for treating migraines. they want to know which dosage of the drug yields the best results with the least side effects. to ensure fair results, the researchers want to ensure that participants and dosage administrators do not know which dosage participants receive. a teacher wants to plan a class fieldtrip and quickly determine where students prefer to go for the class fieldtrip. a car mechanic wants to know which of two engine brands makes better-performing engines. he wants to test the engines in identical situations and rate their performance in a way that can be fairly measured. a chemist studies the properties of a metal compound. she wants to know how the sample size of the metal affects its ability to conduct electricity. she wants to conduct the research in a controlled environment to minimize bias. a realty company wants to know the average income of its clients. the company wants to gather data income from current clients.