Question

The graph shows a relationship between temperature and time.504030Temperature (°F)2010h246810Number of HoursWhich best represents the equation that shows the temperature, t, after h hours?tu-n +45t = -45ht = -5h + 45t= -3h + 45

Answer 1

as we can see in the graph we know that the equation that represents a line is the equation of the line

in this case

y=t

x=h

we need two points in order to calculate the slope

(0,45)=(x1,y1)

(5,30)=(x2,y2)

`m=(y2-y1)/(x2-x1)=(30-45)/(5-0)=(-15)/(5)=-3`

the y-intercept is 45

the form of the equation of the line is

`y=mx+b`

where

m=slope

b=y-intercept

in this case

m=-3

b=45

`y=-3x+45`

using the variables of the problem the equation that represents the problem is

`t=-3h+45`

the correct answer is the last one