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Sandip is 2 inches taller than Brett. Let [tex]$S$[/tex] be Sandip's height in inches and [tex]$B$[/tex] be Brett's height in inches.

i) What is a formula that correctly relates [tex]$S$[/tex] and [tex]$B$[/tex]?
ii) If Brett is 68 inches tall, how tall is Sandip?

A. i) [tex]$S = B + 2$[/tex]
ii) Sandip is 70 inches tall.

B. i) [tex]$B = S + 2$[/tex]
ii) Sandip is 70 inches tall.

C. i) [tex]$S = B + 2$[/tex]
ii) Sandip is 66 inches tall.

D. i) [tex]$B = S + 2$[/tex]
ii) Sandip is 66 inches tall.

Sagot :

GinnyAnsweridn
Let's look at the given information step-by-step:

### Part i: Formula that correctly relates [tex]$S$[/tex] and [tex]$B$[/tex]
We are given that Sandip is 2 inches taller than Brett. Let's define our variables first:
- [tex]$S$[/tex] represents Sandip's height in inches.
- [tex]$B$[/tex] represents Brett's height in inches.

Since Sandip is 2 inches taller than Brett, we can write the relationship between their heights as:
[tex]\[ S = B + 2 \][/tex]
This means that Sandip's height is Brett's height plus an additional 2 inches.

### Part ii: If Brett is 68 inches tall, how tall is Sandip?
Now, we know Brett's height ([tex]$B$[/tex]) is 68 inches. Using the formula we derived in part i:
[tex]\[ S = B + 2 \][/tex]

Substitute [tex]$B = 68$[/tex] inches into the formula:
[tex]\[ S = 68 + 2 \][/tex]
[tex]\[ S = 70 \][/tex]

Thus, if Brett is 68 inches tall, Sandip is 70 inches tall.

### Correct Answer
- i) The formula that relates Sandip's height ([tex]$S$[/tex]) and Brett's height ([tex]$B$[/tex]) is: [tex]\[ S = B + 2 \][/tex]
- ii) If Brett is 68 inches tall, then Sandip is 70 inches tall.

So, the correct option is:
i) [tex]\( S = B + 2 \)[/tex]
ii) Sandip is 70 inches tall.
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