Which of the following expressions could represent how many health points the spell restores when Eiko is wearing the magic ring
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Answer : option C
The ring increases the power of healing by 30%
Without the ring, the health point is H
Increasing by 30%, the health point increases by [tex]\frac{30}{100} H[/tex]
The health point increases by 30% so H becomes
[tex]H + \frac{30}{100} H[/tex]
Now we simplify the fraction
[tex]H + \frac{3}{10} H[/tex]
Factor out H, it becomes
[tex]H(1 + \frac{3}{10})[/tex]
Option C is correct.
Answer:
Options B: [tex]\frac{130}{100}H[/tex] and C: [tex](\frac{3}{10}+1)H[/tex]
Step-by-step explanation:
Remember that 30% in fraction form is [tex]\frac{30}{100}[/tex]
The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:
[tex]\frac{30}{100} H[/tex]
And since it would add that to the current total we can right the current total as:
[tex]\frac{100}{100} H[/tex]
So our equation would be:
[tex]\dfrac{30}{100}H+\dfrac{100}{100}H[/tex]
For option B:
We can factor out the H and you will be left with:
[tex](\dfrac{30}{100}+\dfrac{100}{100})H[/tex]
Combine or add the fractions inside the parenthesis and you will have:
[tex]\dfrac{130}{100}H[/tex]
For option C:
We can simplify the fractions which will result in:
[tex]\dfrac{3}{10}H+1H[/tex]
Then factor out the H and you will have:
[tex](\frac{3}{10}+1)H[/tex]