152k views
3 votes
T=62-0.003h1. What does the number 62 tell us about the temperature and elevation2. What does the number -0.003 tell us about the temperature and elevation

T=62-0.003h1. What does the number 62 tell us about the temperature and elevation-example-1

1 Answer

1 vote

Answer

1) The number 62 gives the value of the temperature (T) when the elevation is exactly at sea level (h = 0).

2) The number -0.003 expresses how much the temperature (T) changes (reduces because of the minus sign) for each increase in elevation (h)

Step-by-step explanation

The temperature is given as

T = 62 - 0.003h

We can rewrite this in the equation of a straight line form

T = -0.003h + 62

And for a straight line,

The slope and y-intercept form of the equation of a straight line is given as

y = mx + b

where

y = y-coordinate of a point on the line.

m = slope of the line which expresses rate of change of y with respect to x

x = x-coordinate of the point on the line whose y-coordinate is y.

b = y-intercept of the line which gives the value of y when x = 0

By comparing T = -0.003h + 62 with y = mx + c, we see that

m = slope = -0.03

b = y-intercept = 62

Hence, to answer this questions,

1) The number 62 gives the value of the temperature (T) when the elevation is exactly at sea level (h = 0).

2) The number -0.003 expresses how much the temperature (T) changes (reduces because of the minus sign) for each increase in elevation (h)

Hope this Helps!!!

User John Tan
by
3.6k points