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A student gets paid to sell raffle tickets at the school basketball game. He earns [tex][tex]$15[/tex] a day, plus an extra [tex]$[/tex]0.25[/tex] for each raffle ticket he sells and [tex]$2[/tex] for each hour he works at the game. If [tex]d =[/tex] days, [tex]r =[/tex] raffle tickets, and [tex]h =[/tex] hours, what function can he use to calculate his earnings?

A. [tex]T = \frac{15}{d} + \frac{4}{r} + \frac{2}{h}[/tex]
B. [tex]T = 15d + 0.25r + 2h[/tex]
C. [tex]T = 15d + \frac{r}{4} + 2h[/tex]
D. [tex]T = \frac{d}{15} + \frac{r}{4} + \frac{2}{2}[/tex]

Sagot :

GinnyAnsweridn
To determine the correct function for calculating the student's earnings, we need to consider his earnings from three sources:

1. Earnings per day: The student earns [tex]$15 for each day he works. If he works for \( d \) days, his total earnings from the days will be \( 15d \). 2. Earnings from raffle tickets: The student earns $[/tex]0.25 for each raffle ticket he sells. If he sells [tex]\( r \)[/tex] raffle tickets, his total earnings from the tickets will be [tex]\( 0.25r \)[/tex].

3. Earnings per hour: The student earns $2 for each hour he works. If he works [tex]\( h \)[/tex] hours, his total earnings from the hours worked will be [tex]\( 2h \)[/tex].

The total earnings [tex]\( T \)[/tex] from these three sources can be calculated by summing them up:

[tex]\[ T = 15d + 0.25r + 2h \][/tex]

Now, let's evaluate each of the given options to see which one matches our derived function:

A. [tex]\( T = \frac{15}{d} + \frac{4}{r} + \frac{2}{h} \)[/tex]

This option is incorrect because it involves division, which does not align with the structure of our derived function.

B. [tex]\( T = 15d + 25r + 2 / 2 \)[/tex]

This option is incorrect for two reasons:
- The term [tex]\( 25r \)[/tex] should be [tex]\( 0.25r \)[/tex].
- The term [tex]\( 2 / 2 \)[/tex] results in 1, which does not correspond to any earnings calculation.

C. [tex]\( T = 15d + \frac{r}{4} + 2h \)[/tex]

This option is incorrect because the term [tex]\( \frac{r}{4} \)[/tex] should be [tex]\( 0.25r \)[/tex].

D. [tex]\( T = \frac{d}{15} + \frac{r}{4} + 2 / 2 \)[/tex]

This option is incorrect because it involves division similar to option A and the incorrect term [tex]\( 2 / 2 \)[/tex].

After evaluating all the choices, it is clear that none of the provided options matches our derived function [tex]\( T = 15d + 0.25r + 2h \)[/tex].

Therefore, none of the provided choices are correct. The correct function should be:

[tex]\[ T = 15d + 0.25r + 2h \][/tex]
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