Marshall High School’s community service club will be selling baked goods as a fundraiser. The club members plan on making cupcakes and cookies. There will be 5 cookies made for every 2 cupcakes made. The club members plan on making 280 total baked goods. Plot the point on the coordinate plane below that represents the total number of cupcakes and the total number of cookies that the community service club members plan on making for the fundraiser.

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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)

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.