What is the ratio of the afternoon to morning temperatures shown in the table?

Temperatures
Morning
Afternoon
15 degrees.
30 degrees.
20 degrees.
40 degrees.
26 degrees.
52 degrees.
1 to 13
1 to 2
2 to 1
13 to 1

1 answer

To find the ratio of the afternoon to morning temperatures, we first need to sum the temperatures for both the morning and the afternoon.

Morning temperatures:

  • 15 degrees
  • 30 degrees
  • 20 degrees
  • 40 degrees
  • 26 degrees

Total Morning Temperature:
\( 15 + 30 + 20 + 40 + 26 = 131 \) degrees

Afternoon temperatures:

  • 30 degrees
  • 40 degrees
  • 52 degrees

Total Afternoon Temperature:
\( 30 + 40 + 52 = 122 \) degrees

Now, we can calculate the ratio of the total afternoon temperature to total morning temperature:

\[ \text{Ratio} = \frac{\text{Total Afternoon}}{\text{Total Morning}} = \frac{122}{131} \]

This fraction can also be represented in simplest form; however, for practical purposes, we can evaluate this as a ratio.

Let’s also calculate it:

\[ \frac{122}{131} \]

This does not simplify nicely and represents the ratio directly. As a decimal, this is approximately \( 0.93 \), or if you're looking for a simple integer ratio, we can multiply both sides of the fraction by 100 to compare them:

\[ 122:131 \]

None of the provided options (1 to 13, 1 to 2, 2 to 1, 13 to 1) corresponds neatly to this ratio. However, based on the values calculated, the most accurate representation of the ratio of afternoon temperatures to morning temperatures remains:

\[ 122 : 131 \]

So given the options, none seem correct based on usual ratios.