Question

l8 - homework
score: 120/200 answered: 24/40
question 25
laura is bowling 5 games. her first 4 scores were 134, 109, 122, and 137.
to end up with an average score of at least 135.6, what is the lowest score laura will need in the fifth
game?
question help: worked example 1

Explanation:

Step1: Calculate the total score needed for 5 games

The formula for the average is $\text{Average}=\frac{\text{Total Score}}{\text{Number of Games}}$.
If the average score is at least $135.6$ for $n = 5$ games, then the total score $T$ needed is $T=135.6\times5$.
$$T = 135.6\times5=678$$

Step2: Calculate the sum of the first 4 - game scores

Let the scores of the first 4 games be $a = 134$, $b = 109$, $c = 122$, $d = 137$.
The sum of the first 4 - game scores $S=a + b + c + d$.
$$S=134 + 109+122 + 137=(134+109)+(122 + 137)=243+259 = 502$$

Step3: Find the score of the fifth game

Let the score of the fifth game be $x$.
We know that $T=S + x$. So $x=T - S$.
Substitute $T = 678$ and $S = 502$ into the equation: $x=678-502$.
$$x = 176$$

Answer:

$176$