Question

Which ordered pair is a solution to Y equals 4.5 X +20?

A. (5,40)
B. (7,52)
C. (10,25)
D. (12,74)

Answer 1

In order to find out which ordered pair is a solution, we simply input each X value to the equation provided and see if it yields the given Y value. For A: 4.5*5 + 20 = 22.5 + 20 = 42.5 <> 40 For B: 4.5*7 +20 = 31.5 + 20 = 51.5 <> 52 For C: 4.5*10 + 20 = 45 + 20 = 65 <> 25 For D: 4.5*12 + 20 = 52 + 20 =74. Thus D is the correct answer.

Answer 2

For this case, what you should do is replace each by ordered in the function and see which satisfies the equality. Substituting we have:
Y = 4.5 X +20
A. (5,40)
40 = 4.5 * (5) + 20 = 42.5
40 = 42.5 (NO)
B. (7,52)
52 = 4.5 * (7) + 20 = 51.5
52 = 51.5 (NO)
C. (10,25)
25 = 4.5 * (10) + 20 = 65
25 = 65 (NO)
D. (12,74)
74 = 4.5 * (12) + 20 = 74
74 = 74 (YES)
Answer:
The ordered pair solution is D. (12.74)