Question

Math Section -- No Calculator

Meteorologists in Atlanta have developed the following equation to estimate the temperature t , in degrees Fahrenheit , based on the number of hours h after sunrise until 4:00 PM:

t = 5h + 61.4

According to this model , by how many degrees Fahrenheit will the temperature rise each hour until 4:00 PM?

a) 3.3
b) 5
c) 12.3
d) 30.7

Answer 1

The answer is b, 5 degrees. The equation means that the temperature will be 61.4 degrees + 5 degrees each hour until 4 pm.

Answer 2

Answer: b) 5

Step-by-step explanation:

The equation for the temperature in Fahrenheit is:

t = 5h + 61.4

Where h is the number of hours after 4:00 pm

then if this is compared with a linear equation, the y-intercept is 61.4 Fahrenheit, and the slope is 5 Fahrenheit/hour

Now we want to know by how many degrees Fahrenheit will the temperature rise each hour until 4:00 PM, we need to look at the slope in order to answer this.

We know that the slope is 5 Fahrenheit/hour, so each hour that passes the temperature increases by 5 degrees Fahrenheit.

The right option is b) 5.