120x + 1800 A manufacturer determines that the average daily cost (in dollars) of producing x units of a certain commodity is given by the function C(x) = x>0, where $1800 is the fixed cost and $120 is the variable cost. For what values of x will the average cost be less than $135?

120x + 1800 A manufacturer determines that the average daily cost (in dollars) of producing x units of a certain commodity is given by the function C(x) = x>0, where $1800 is the fixed cost and $120 is the variable cost. For what values of x will the average cost be less than $135?

Name: 120x + 1800A manufacturer determines that the average daily cost (in
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: 120x + 1800A manufacturer determines that the average daily cost (in dollars) of producing x units of a certain commodity is given by the function C(x) =-, x >0, where $1800 is the fixed cost and $120 is the variable cost. For what values of x willt

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter5: Linear Inequalities

Section: Chapter Questions

Problem 11PT

See similar textbooks

Similar questions

Shanthie needs to earn at least $500 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays $10an hour and the other as an intern in a law office for$25 hour. How many hours does Shanthie need to work at each job to earn at least $500 per week? (a) Let x be the number of hours she works teaching swimming and let y be the number of hours she worksas an intern. Write an inequality that would model thissituation. (b) Graph the inequality. (c) Find three ordered pairs (x,y) that would be solutions to the inequality. Then, explain what that means for Shanthie.
Sales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?
Elena needs to earn at least $450 a week during her summer break to pay for college. She works two jobs. One as a swimming instructor that pays $9 an hour and the other as an intern in a genetics lab for $22.50 per hour. How many hours does Elena need to work at each job to earn at least $450 per week? (a) Let x be the number of hours she works teaching swimming and let y be the number of hours she works as an intern. Write an inequality that would model this situation. (b) Graph the inequality. (c) Find three ordered pairs (x, y) that would be solutions to the inequality. Then, explain what that means for Elena.
Safety A child’s height, h, must be at least 57 inches for the child to safely ride in the front seat of a car. Write this as an inequality.
Height and Weight For a healthy person who is 4 feet 10 inches tall, the recommended minimum weight is about 91 pounds and increases by about 3.6 pounds for each additional inch of height. The recommended maximum weight is about 115 pounds and increases by about 4.5 pounds for each additional inch of height. (a) Let x be the number of inches by which a person’s height exceeds 4 feet 10 inches and let y be the person’s weight (in pounds). Write a system of inequalities that describes the possible values of x and y for a healthy person. (b) Use a graphing utility to graph the system of inequalities from part (a). (c) What is the recommended weight range for a healthy person who is 6 feet tall?
Blood Pressure A person’s blood pressure is measured with two numbers. The systolic blood pressure measures the pressure of the blood on the arteries as the heart beats. The diastolic blood pressure measures the pressure while the heart is resting. (a) Let x be your systolic blood pressure. Researchand then write the compound inequality that shows you what a normal systolic blood pressure should be for someone your age. (b) Let y be your diastolic blood pressure. Researchand then write the compound inequality that shows you what a normal diastolic blood pressure should be for someone your age.
Atsushi he needs to exercise enough to burn 600 calories each day. He prefers to either run or bike and burns 20 calories per minute while running and 15 calories a minute while biking. (a) If x is the number of minutes that Atsushi runs and yis the number minutes he bikes, find the inequality that models the situation. (b) Graph the inequality. (c) List three solutions to the inequality. What options do the solutions provide Atsushi?