A members-only speaker series allows people to join for $19 and then pay $4 for every event attended. What is the maximum number of events someone can attend for a total
cost of $31

3

Step-by-step explanation:

Let's create a model first.

The initial fee is $19 (this is our y intercept or b)

And the pay per is $4 (this is our variable or m)

y=mx+b

y= 4x+19

To find out what the maximum number of events someone can attend for $31, we plug in different number for the x value until it's less than or equal to $31

In this case, plugging in 3 for x gives us exactly $31

y=4(3)+19= 31

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

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d

step-by-step explanation: