Steven earns extra money babysitting. He charges $33.75 for 5 hours and $54.00 for 8 hours.
Enter an equation to represent the relationship. Let x represent the number of hours
Steven babysits and y represent the amount he charges.
The equation is y =

y = 6.75x

Step-by-step explanation:

These 2 pieces of information can be used to create 2 points on the graph, where x is the number of hours and y is the amount he charges:

(5, 33.75) and (8, 54) are the 2 points

Use rise/run (y2 - y1) / (x2 - x1) to find the slope

(54 - 33.75) / (8 - 5)

20.25/3

= 6.75

Now, plug this and another point into y = mx + b to find b, the y intercept

54 = 6.75(8) + b

54 = 54 + b

0 = b

So, the equation is y = 6.75x

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.