Question

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.

Answer 1

E=2.8 m-40

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!