The average temperature in metropolis in 1980 was 54.2 degrees. In 2005, the ave

Question

The average temperature in metropolis in 1980 was 54.2 degrees. In 2005, the average temp in metropolis was 56.7 degrees. Let y be the average temp in metropolis in year x, where x=0 represents the year 1980.

a. which of the following linear equations could be used to predict the average metropolis temp y in given year x, where x=0 represents the year 1980? explain and show work

a. y=0.10x+54.2

b. y=0.10x-143.8

c. y=2.5x+54.2

d. y=2.5x-4895.8

b. use the equation from part a to predict the average temp in metropolis in the year 2020- show work

c.fill in the blankes to interpret the slope of the equation. the rate of change of temp with respect to time is ____________________- per _____________________ (include units of measurements)

Explanation / Answer

Let equation is y=mx+c

at x=0 y=54.2 & x=25 y=56.7

So, c=54.2

& m=0.1.

So, y=0.1x + 54.2

b)year 2020 means x=40

y=0.1*40 + 54.2

=58.2 degrees

c)slope of line= 0.1 degrees per year.

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