Question

Joannas pay for working overtime,p,varies jointly as the number of hours she works ,n, and her hourly pay rate,r,and p=$103.44 when n=8 hours and r=$8.62. Find n when p=$213.75 and r=$9.50

Answer 1

n = 15 when p=$213.75 and r=$9.50

Step-by-step explanation:

Given

p = overtime pay

n = number of hours

r = hourly pay rate

It is also given that the pay for working hours varied directly with Number of hours and hourly pay rate jointly

So

It can be denoted as:

p ∝ nr

It can also be written as:

$p = knr$

where k is the constant of proportionality

Putting the given values of p,n and r in the equation

$103.44 = k * 8 * 8.62\\103.44 = 68.96k\\k = \frac{103.44}{68.96}\\k = 1.5$

So the equation is now,

p = 1.5nr

Putting

p = 213.75

r = 9.50

$213.75 = 1.5 * n * 9.50\\213.75 = 14.25n\\n = \frac{213.75}{14.25}\\n = 15$

Hence,

n = 15 when p=$213.75 and r=$9.50

Keywords: Proportion variation

Learn more about proportion at:

• brainly.com/question/6069822
• brainly.com/question/6073431

#LearnwithBrainly