Question

in these expressions, ( y = 6.5 ). which expression has the greatest value?
a. ( y + 6.5 )
b. ( \frac{13}{2y} )
c. ( y - 6.5 )
d. ( \frac{2y}{13} )

Explanation:

Step1: Substitute $y=6.5$ to A

$6.5 + 6.5 = 13$

Step2: Substitute $y=6.5$ to B

$\frac{13}{2\times6.5} = \frac{13}{13} = 1$

Step3: Substitute $y=6.5$ to C

$6.5 - 6.5 = 0$

Step4: Substitute $y=6.5$ to D

$\frac{2\times6.5}{13} = \frac{13}{13} = 1$

Step5: Compare all results

$13 > 1 > 0$, so A is largest.

Answer:

A. $y + 6.5$