Kody has currently has an average of 80 in his math class. What must he make on his midterm, that counts 20% of his grade, to maintain a 70 or above average?
To find out what grade Kody must make on his midterm to maintain a 70 or above average, we need to consider the following:
1. The weight of the midterm: The midterm counts for 20% of Kody's grade.
2. The desired average: Kody wants to maintain a 70 or above average.
To calculate the required grade on the midterm, we can follow these steps:
Step 1: Assign variables
Let's assign the following variables:
- Current average: A (80 in this case)
- Weight of the midterm: W (20% or 0.2 in this case)
- Desired average: D (70 in this case)
- Grade on midterm: G (what we need to find)
Step 2: Write the equation
We can use the weighted average formula to write the equation:
(Current average * (1 - Weight)) + (Grade on midterm * Weight) = Desired average
Plugging in the known values, we get:
(80 * (1 - 0.2)) + (G * 0.2) = 70
Step 3: Solve for G
Now we can solve for G, the grade Kody needs to achieve on his midterm:
(80 * 0.8) + (G * 0.2) = 70
64 + 0.2G = 70
0.2G = 70 - 64
0.2G = 6
G = 6 / 0.2
G = 30
Therefore, Kody must make 30 on his midterm to maintain a 70 or above average in his math class.