You lose track of how many 2-point baskets and 3-point baskets a team makes in a basketball game. The team misses all the 1-poin t baskets and still scores 54 points. The equation 2x+3y=54$ models the total points scored, where x is the number of 2-point baskets made and y is the number of 3-point baskets made. a. Find and interpret the intercepts.
1 answer:
Answer:
x-intercept: 27, the number of 2-pointers if no 3-pointers y-intercept: 18, the number of 3-pointers if no 2-pointers Step-by-step explanation:
Each intercept is found by setting the other variable to zero and solving for the variable value of interest.
2x +3y = 54
<u>x-intercept:</u>
2x = 54
x = 27
<u>y-intercept:</u>
3y = 54
y = 18
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By definition, the intercept values are the values that satisfy the equation when the other variable is zero.
x-intercept: To score 54 points, the team would have to make 27 2-point baskets if no 3-point baskets were made.
y-intercept: To score 54 points, the team would have to make 18 3-point baskets if no 2-point baskets were made.
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