solve this word problem suppose you have a job mowing lawns that pays $12 per hour you also have a job at a clothing store that pays $10 per hour you need to earn at least $350 per week but you can work no more than 35 hours per week you must work a minimum of 10 hours per week at the clothing store what is a graph showing how many hours per week you can work at each job?
I also need this, this is very difficult.
i don't no know how to do math cuz i aint in school cuz i am a wooden toy that learned how to walk and talk. how stupid am i???? :):);)
(-3,-3)
To solve this word problem and create a graph showing the number of hours you can work at each job, we need to consider the given conditions and constraints.
Let's break it down step by step:
1. Determine the minimum number of hours you need to work at each job:
Since you must work a minimum of 10 hours per week at the clothing store job, let's start with that as our baseline.
2. Calculate the maximum number of hours you can work at each job:
To earn at least $350 per week, let's calculate the maximum number of hours you can work at each job within the 35-hour limit.
For the lawn mowing job:
$12 per hour × maximum number of hours = $350
Maximum number of hours = $350 / $12 per hour
Maximum number of hours ≈ 29.17 hours (rounded down to 29 hours)
For the clothing store job:
Since you have a maximum total of 35 hours, subtract the maximum number of hours you can work at the lawn mowing job from 35:
Maximum number of hours at the clothing store = 35 hours – 29 hours
Maximum number of hours at the clothing store = 6 hours
3. Create a graph:
On the x-axis of your graph, place the two jobs: "Lawn Mowing" and "Clothing Store."
On the y-axis, indicate the number of hours you can work for each job.
Plot the points on the graph:
For the lawn mowing job, you can work anywhere from 0 to 29 hours.
For the clothing store job, you can work anywhere from 10 to 35 hours (but no more than 6 hours when combined with the lawn mowing job).
Draw a line connecting the two points on the graph representing the maximum hours for the clothing store job and the maximum hours for the lawn mowing job.
Your graph should show the maximum hours per week for each job, which is 29 hours for lawn mowing and 6 hours for the clothing store.
Please note that the y-axis scale might need to be adjusted depending on the size of the graph and the units you choose to use for the job hours.