Math Snap

STEP 1

What is this asking?
If the temperature increased by 8% from a starting temperature $T$, what's the new temperature?
Watch out!
Don't mix up adding 8% with multiplying by 8 or adding 0.08!

STEP 2

1. Express the percentage as a decimal.
2. Calculate the increase in temperature.
3. Calculate the final temperature.

STEP 3

We're given an 8% increase.
To work with this mathematically, let's turn this percentage into a decimal!
Remember, "percent" means "per hundred," so 8% is the same as $\frac{8}{100}$, which equals 0.08.

STEP 4

The problem tells us the temperature two Sundays ago was $T$ degrees.
The temperature increased by 8% of $T$.
Mathematically, this increase is $0.08 \cdot T$.
So the increase is $0.08T$ degrees.

STEP 5

To get the final temperature, we take the initial temperature $T$ and add the increase we just calculated: $0.08T$.
This gives us $T + 0.08T$.

STEP 6

We can simplify this by factoring out the $T$:
$$T + 0.08T = T \cdot (1 + 0.08) = 1.08T$$ So the average temperature last Sunday was $\bf{1.08T}$.

STEP 7

Remember from earlier that we found 8% is the same as $\frac{8}{100}$?
So, another way to write the final temperature is $\bf{(1 + \frac{8}{100})T}$.
It's the same as $1.08T$, just written a little differently!

The correct answers are A ($1.08T$) and B ($(1 + \frac{8}{100})T$).