An algebra problem by A Former Brilliant Member

Algebra Level 2

The daily payroll for a work crew is directly proportional to the number of workers, and a crew of 12 workers earns a payroll of $900. Which of the following is a mathematical model expressing the daily payroll as a function of the number of workers?

Try some of my problems: Math Problems - Set 1

f(x)=12x

f(x)=75x

f(x)=900+12x

f(x)=900x

1 solution

A Former Brilliant Member
Dec 22, 2016

we let $f(x)$ dollars be the daily payroll of $x$ workers

By definition of direct proportional,

$f(x)=kx$ , where $k$ is the constant of proportionality. Because the daily payroll for $12$ workers is $\$900$ , we replace $x$ by $12$ and $f(x)$ by 900 and obtain

$900=k(12)$

$k=75$

Substituting this value of $k$ in the equation, we have

$f(x)=75x$

An algebra problem by A Former Brilliant Member

Try some of my problems: Math Problems - Set 1

1 solution

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