Question

For a certain city, the temperature each day this week can be described by the inequality below.

3d +6<A
In the inequality, d is the daily temperature in degrees Fahrenheit and A is the average temperature for the year. If A = 54 °F, which statement BEST interprets the solution to the in
A The temperature each day this week was less than 90 "F
B The average temperature for the year was less than 90 °F
c The temperature each day this week was less than 72 °F
DO The average temperature for the year was less than 72 °F​

Answer 1

Option C.

Explanation:

We have the following inequality :

`3d+6<A` (I)

In which :

`d` : '' The daily temperature in degrees Fahrenheit ''

`A` : '' The average temperature for the year ''

We first need to find the solution (the inequality related to the value of
`d`) given that we set
`A=54` °F ⇒

Using the equation (I) :

`3d+6<54\\3d<48\\d<16`

We find that the ''
`d`'' variable (daily temperature in degrees Fahrenheit) is less than
`16` °F.

The option B and the option D give us an interpretation about the
`''A''` variable.

Only the options A and C give us an interpretion about the
`''d''` variable

Between A and C, the option C is a more accurate option (because 72°F is closer to 16°F).

We answer that the option C best interprets the solution.