Jen was the leading scorer on her soccer team. She scored 120 goals and had 20 assists in her high school career.
A. The number n of points awarded for goals is given by 2g where g is the number of goals scored. How many points did Jen earn for goals?
B. The point total is given by n+a where a is the number of assists. Use your answer from part (a) to find Jen's point total.
A.
g = 120
because she scored 120 goals
n = 2 g = 2 ∙ 120 = 240
She earn 240 points for goals
B.
a = 20
becouse she had 20 assists
Point total = n + a = 240 + 20 = 260
To find the number of points earned for goals, we can use the formula n = 2g, where g is the number of goals scored.
A. Substitute the value of g = 120 into the formula:
n = 2(120)
n = 240
Jen earned 240 points for goals.
B. The point total is given by n + a, where a is the number of assists.
Substitute the value of n = 240 and a = 20 into the formula:
Point total = 240 + 20
Point total = 260
Jen's point total is 260.
To find the number of points Jen earned for goals, we can use the formula given in part A: n = 2g, where n represents the number of points awarded for goals and g represents the number of goals scored.
In this case, we know that Jen scored 120 goals. So, we can substitute g = 120 into the formula: n = 2(120).
To calculate this, we simply multiply 2 by 120: n = 240.
So, Jen earned 240 points for goals.
Moving on to part B, we need to find Jen's point total using the formula n + a, where n is the number of points awarded for goals (240) and a is the number of assists (20).
Substituting these values into the formula, we have: point total = 240 + 20.
Adding these two numbers together, we get: point total = 260.
Therefore, Jen's point total, including both goals and assists, is 260.