could you please help me?
john needs to earn $693 to pay for trip. he finds job that pays $7 per hour and he mows lawns for $9. an hour
a. write an inequality describing his goal in terms of hours at his job, x, and hours mowing lawns, y .
i wrote 7x + 9y = 693., is this correct, if not could you please show me thanks ann
b. to graph the inequality how would i get points?
They had asked for an inequality.
Since he needs at least $693 you should have had
7x + 9y ≥ 693
to graph this, I would use the intercepts, (693 divides nicely by both 7 and 9)
for x-intercept, let y = 0
7x = 693 , x = 99
for y-interecept , let x = 0
9y = 693, y = 77
so after scaling your graph, plot
(0,77) and (99,0)
draw a solid line (the points on the line are included)
and shade in the region above the line.
thank you so much for your help reiny. i really appreciate it.ann
YOU EARN 15N DOLLARS FOR MOWING N LAWNS.HOW MUCH DO YOU EARN FOR MOWING ONE LAWN? SEVEN LAWNS
a. The inequality describing John's goal can be written as:
7x + 9y ≥ 693
The reason why we use the greater than or equal to sign (≥) is because John needs to earn at least $693, so the sum of his earnings from the job and mowing lawns should be greater than or equal to 693.
b. To graph the inequality, you can follow these steps:
1. Choose a scale for the x-axis and y-axis. Determine the maximum values for x and y based on the given information. For example, if you assume John can work a maximum of 100 hours at his job and mow lawns for a maximum of 100 hours, you can set the x-axis and y-axis from 0 to 100.
2. Plot the points on the graph. To get points, you can choose any combination of x and y values that satisfy the inequality. For example, you can choose (0, 77) which means John works 0 hours at his job and mows lawns for 77 hours. Other valid combination of x and y values could be (3, 68), (9, 63), (15, 56), etc.
3. Draw a line through the points. Since the inequality is greater than or equal to, the line should be solid to indicate that points on and above the line are included.
4. Shade the region above the line. This represents the solutions to the inequality because any point within or above the shaded region will satisfy the equation 7x + 9y ≥ 693.
Remember to label the x-axis, y-axis, and any important points on the graph.