Josie must have at least 320 points in her math class to get a B. She needs a B or better to maintain her GPA so she can play an the basketball team. The grade is based on four 50-point tests, three 20-point quizzes, two 20 point projects, and a final exam worth 100 points. The grades Josie has already earned are listed below.
Totals in ()
Tests: 40, 42, 41, 45 (168)
Quizzes: 15, 12, 19 (46)
Projects 15, 18 (33)
Write an inequality to represent the range of scores needed on the final exam for Josie to make a B.
B>=320
168+46+33+Final>=320
final>=320-247
final>=73
so she needs a 73 or better.
To find the range of scores needed on the final exam for Josie to make a B, we can start by calculating her current total score.
Tests: 40 + 42 + 41 + 45 = 168 points
Quizzes: 15 + 12 + 19 = 46 points
Projects: 15 + 18 = 33 points
Total current score: 168 + 46 + 33 = 247 points
Now, let's calculate the maximum possible score Josie can get in her class if she earns the maximum score on each remaining item:
Remaining test: 50 points
Remaining quizzes: 20 + 20 = 40 points
Remaining projects: 20 + 20 = 40 points
Final exam: 100 points
Total possible remaining score: 50 + 40 + 40 + 100 = 230 points
Since Josie needs at least 320 points to get a B, we can write the following inequality:
247 + (max possible remaining score) ≥ 320
247 + 230 ≥ 320
477 ≥ 320
This inequality shows that Josie needs a total score of at least 320 points, including her current score and the maximum possible remaining score.