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The total number of golfers [tex]\( g \)[/tex] each day at a golf course is proportional to the number of tee times [tex]\( t \)[/tex].

If four golfers are scheduled at each tee time, which equation represents the total number of daily golfers at the golf course?

A. [tex]\( g = 4 - t \)[/tex]

B. [tex]\( g = 4 + t \)[/tex]

C. [tex]\( g = 4t \)[/tex]

D. [tex]\( g = \frac{1}{4} t \)[/tex]


Sagot :

To determine which equation represents the total number of golfers [tex]\( g \)[/tex] each day at a golf course in relation to the number of tee times [tex]\( t \)[/tex], we need to understand the relationship between golfers and tee times.

Given that four golfers are scheduled at each tee time, the total number of golfers is directly proportional to the number of tee times.

Let's break it down:
1. If there is 1 tee time, there are 4 golfers.
2. If there are 2 tee times, there are [tex]\( 2 \times 4 = 8 \)[/tex] golfers.
3. If there are 3 tee times, there are [tex]\( 3 \times 4 = 12 \)[/tex] golfers.

In general, for [tex]\( t \)[/tex] tee times, the total number of golfers [tex]\( g \)[/tex] would be:

[tex]\[ g = 4 \times t \][/tex]

Therefore, the equation that correctly represents the relationship between the number of golfers and the number of tee times is:

[tex]\[ g = 4t \][/tex]

Thus, the correct answer is:

C. [tex]\( g = 4t \)[/tex]