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Excited about the success of celebrity​ stamps, post office officials were rumored to have put forth a plan to institute two new types of thermometers. On these new​ scales, degrees°E represents degrees Elvis and degrees°M represents degrees Madonna. If it is known that 30degrees°Eequals=25degrees°​M, 310degrees°Eequals=125degrees°​M, and degrees Elvis is linearly related to degrees​ Madonna, write an equation expressing E in terms of M.

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msillitti

Answer:

E=2.8 m-40

Step-by-step explanation:

We konw that  30°E=25°M and 310°E=125°M

so if we want to write an ecuation that linearly relates E with M, we can use the formula of the line that crosses two points:

Y-y1= (y2-y1)/(x2-x1)*(X-x1)

In thts case:

  • Y=E
  • y1= E1= 30
  • y2= E2=310
  • x1= M1= 25
  • x2=M2=125

so

E-E1= (E2-E1)/(M2-M1)* (M-M1)

E-30 = (310-30)/(125-25)*(M-25)

E-30 =280/100 *(M-25)

E-30 =2.8 M- 280*25/100

E-30 =2.8 M-70

E= 2.8 M-70+30

E=2.8 M-40

Good luck!

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