joannalemus2607
Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Tamara and Jason work at a widget factory. Tamara arrived at work before Jason and began making widgets. Tamara had already made 20 widgets when Jason began his work. Tamara was producing widgets at a rate of 8 widgets per hour. Jason was able to produce widgets at a rate of 12 widgets per hour. At some point, Tamara and Jason will have produced the same number of widgets.

Part A:
Write a system of equations to represent the situation. Let x = hours and y = widgets.

Part B:
How much time does it take for Tamara and Jason to produce the same number of widgets?

Part C:
How many widgets will Tamara and Jason have produced?

Sagot :

Answer:

To solve this problem we can construct an linear algebraic expression for each person, principally denoted as:

where

y :is our dependent variable (which is a function of )

x :is our independent variable

a :is the slope

c :is the y-intercept constant value (if any present)

Part A: Write a system of equations to represent the situation. Let x = hours and y = widgets.

Tamara

Has already made 20 widgets and produces at a rate of 8 widgets per hour thus here c=20 and a=8 , so Tamara's equation reads: yT=8x+20

Jason

Has not produced any widgets yet and produces at a rate of 12 widgets per hour thus here c=0 and a=12 , so Jason's equation reads:yj=12x

So the system of equations will be

yT=8x+20

yj=12x

Part B: How much time does it take for Tamara and Jason to produce the same number of widgets?

Since we want to find the amount of time (i.e. the value of x ) it takes for both of them to produce the same number of widgets we can just equate the two equations ans solve for x as follow:

yT=yj

8x+20=12x

8x-12x=-20

-4x=-20

x=5

So it takes them 5 hours to produce the same amount of widgets

Part C: How many widgets will Tamara and Jason have produced?

Now we can simply plug in the value of x=5 in any of the two equations (i.e. either for Tamara or Jason) to find the number of widgets produced.

yT=8(5)+20=40+20=60

So in a time-space of 5 hours Each will have produced 60 widgets and in total will be 60+60 = 120 widgets.

Step-by-step explanation:

mrk me brainliest i worked really hard on this plzzzzzzzzzzzzzzz

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.