17. In the last basketball game, Kevin scored 2 less than a third of his team's points.
Part A: Let n represent the number of points Kevin's team scored. Write an expression for the number of points Kevin scored.
Part B: Kevin scored 14 points. How many points did the team score
(1/3)n - 2
(1/3)n - 2 = 14
Part A: Let n represent the number of points Kevin's team scored. To find the number of points Kevin scored, we need to take a third of his team's points and subtract 2. So the expression for the number of points Kevin scored is (1/3)n - 2.
Part B: If Kevin scored 14 points, we can substitute that into the expression for the number of points Kevin scored and solve for n. So we have:
(1/3)n - 2 = 14
To isolate n, we can first add 2 to both sides of the equation:
(1/3)n = 14 + 2
Simplifying:
(1/3)n = 16
To get rid of the fraction, we can multiply both sides of the equation by 3:
3 * (1/3)n = 3 * 16
Simplifying:
n = 48
Therefore, the team scored 48 points.
Part A: To write an expression for the number of points Kevin scored, we know that he scored 2 less than a third of his team's points. Let's use the variable n to represent the number of points Kevin's team scored.
A third of the team's points is given by (1/3) * n.
Kevin scored 2 less than a third of the team's points, which is (1/3) * n - 2. So, the expression for the number of points Kevin scored is (1/3) * n - 2.
Part B: We are given that Kevin scored 14 points. We can use this information to find the total number of points the team scored.
Substitute 14 in the expression for Kevin's score:
(1/3) * n - 2 = 14
To isolate n, let's first add 2 to both sides of the equation:
(1/3) * n = 16
Next, multiply both sides by 3 to get rid of the fraction:
n = 48
Therefore, the team scored 48 points.