Question

Some body help answer the question in the picture below

Answer 1

Answer:

a) t ≥ 5

b) (see below)

Step-by-step explanation:

First, make note of the info you are given and what you're trying to do:

- at midnight, 5°C

- drops consistently 2°C per hour

- finding t

- t = # of hours past midnight when temp. was past -4°C

- put t on a number line

So, first, you need to find the first point at when the temperature goes past -4°C. Notice that the question is asking for past -4°C, not -4°C and past. This means we're not including -4°C.

Every hour, we're dropping by 2°C. You can draw a visual to better understand the situation. See the image below.

So we know that starting from 5 am, we are lower than -4°C.

This is 5 hours from midnight.

So t ≥ 5. This means that the number of hours past midnight when the temperature was colder than -4°C was 5 or more hours.

On the number line, draw a circle on 5 (between 4 and 6), but shade it in because it includes 5. Then, shade or highlight to the right of that circle to the end of the number line.

This shows that t is equal to or greater than 5.