Question

6 the function ( a(x) ), where ( x ) is a letter, assigns a value based on the number of the letter in the order of the alphabet. for example, ( a(a) = 1 ), ( a(b) = 2 ), ( a(c) = 3 ), etc. diego and andre are trying to figure out whose name has a higher value based on the function ( a(x) ) by figuring out the value of each letter in their names and adding them. whose name has a higher sum based on the ( a(x) ) function, diego or andre?

Explanation:

Step1: Analyze Diego's name

Diego has letters D, I, E, G, O.

• \( A(D) = 4 \) (since D is the 4th letter)
• \( A(I) = 9 \) (I is 9th)
• \( A(E) = 5 \) (E is 5th)
• \( A(G) = 7 \) (G is 7th)
• \( A(O) = 15 \) (O is 15th)

Sum for Diego: \( 4 + 9 + 5 + 7 + 15 = 40 \)

Step2: Analyze Andre's name

Andre has letters A, N, D, R, E.

• \( A(A) = 1 \) (A is 1st)
• \( A(N) = 14 \) (N is 14th)
• \( A(D) = 4 \) (D is 4th)
• \( A(R) = 18 \) (R is 18th)
• \( A(E) = 5 \) (E is 5th)

Sum for Andre: \( 1 + 14 + 4 + 18 + 5 = 42 \)

Step3: Compare the sums

Andre's sum (42) is greater than Diego's sum (40).

Answer:

Andre