Question

You lose track of how many 2-point baskets and 3-point baskets a team makes in abasketball game. The team misses all the 1-point baskets and still scores 54 points. The equation2x + 3y = 54 models the total points scored, where x is the number of 2-point baskets made and yis the number of 3-point baskets made.a) Find and interpret the interceptsb) Graph the equationc) can the number of 3-point baskets made be odd? explain.

Answer 1

Ok

I'll graph, please wait

a)

2x + 3y = 54

When y = 0

2x + 3(0) = 54

2x = 54

x = 54/2

x = 27 This is the total number os baskets if dont make

3 points baskets

When x = 0

2(0) + 3y = 54

3y = 54

y = 54/3

y = 18

This is the total number of baskets if only make 3-point baskets.

c) Yes, because 3 is odd, then when we multiply three by for example 7 or 9 we get odd numbers.

b) Graph