inequality

Rhonda raised $245 for her softball team's fundraiser.She wants to raise no less than $455.Write and solve an inequality to determine how much more money Rhonda must raise to reach her goal. Let d represent the amount of money in dollars Rhonda must raise to reach her goal. The phrase no less...

2 is greater than or equal to w and -7 is less than or equal to w Written as an inequality, we have: -7 <= w <= 2

Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cost $14 each. Let the number of t-shirts be t. Lisa can spend up to, but not more than 150. We have the following inequality: 14t + 58 <= 150 To solve this inequality...

Normal body temperature is 98.6 ̊ F. Write an inequality that describes the temperature, T, of people with above normal temperatures. Above means greater than, so we set up the inequality: T > 98.6 ̊

The cost of 25 apples is less than $9.50. The cost of 12 apples is more than 3.60. What are the possible prices of one apple? Let a be the price of each apple. We're given 2 inequalities: 25a < 9.50 12a > 3.60 Typing 25a < 9.50 into our search engine, we get a < 0.38 Typing 12a > 360 into...

keisha is babysitting at 8$ per hour to earn money for a car. So far she has saved $1300. The car that keisha wants to buy costs at least $5440. How many hours does Keisha need to babysit to earn enough to buy the car Set up the Earning function E(h) where h is the number of hours Keisha needs...

Kate spent at most $2.50 on apples and oranges. She bought 5 apples at $0.36 each. What is the most She spent on oranges Assumptions and givens: Let a be the total cost of apples Let o be the total cost of oranges The phrase at most means less than or equal to, so we have: a + o <= 2.50...

Your grade must be at least 60 to pass this class Assumptions and givens: The phrase at least means greater than or equal to. Let g be your grade We have: g >= 60

Keith is going to Renaissance Festival with $120 to pay for his admission, food and the cost of games. He spends a total of $85 on admission and food. Games cost $5 each. Which inequality models the maximum number of games Keith can play. Let the number of games be g. Keith can spend less than...

The product of a number b and 3 is no less than 12. A number b is just written as b. So we have: The product of b and 3 is no less than 12. take this in parts: The product of b and 3: 3b The phrase is no less than means an inequality, so we have greater than or equal to. We set 3b greater...

Gary is buying chips. Each bag costs $3.50. He has $40 to spend. Write an inequality to represent the number of chip bags, c, he can afford. Gary's spend is found by this inequality: 3.50c <= 40 To solve this inequality, we type it in our search engine and we get: c <= 11.43

A quantity x is at least 10 and at most 20 The phrase at most means less than or equal to The phrase at least means greater than or equal to. So we have the following inequality 10 <= x <= 20

The auditorium can hold a maximum of 150 people We want an inequality for the number of people (p) in the auditorium. The word maximum means no more than or less than or equal to. So we have: p <= 150

As a salesperson you will earn $600 per month plus a commission of 20% of sales. Find the minimum amount of sales you need to make in order to receive a total income of at least $1500 per month. Let the amount of sales be s. The phrase at least means greater than or equal to. Since 20% is 0.2...

Miguel has $80 in his bank and saves $2 a week. Jesse has $30 in his bank but saves $7 a week. In how many weeks will Jesse have more in his bank than Miguel? Set up the Bank value B(w) for Miguel where w is the number of weeks B(w) = Savings Per week * w + Current Bank Balance B(w) = 2w + 80...

Angelica’s financial aid stipulates that her tuition cannot exceed $1000. If her local community college charges a $35 registration fee plus $375 per course, what is the greatest number of courses for which Angelica can register? We set up the Tuition function T(c), where c is the number of...

The width of a rectangle is fixed at 4cm. For what lengths will the area be less than 86 cm^2 The Area (A) of a rectangle is given by: A = lw With an area of less than 86 and a width of 4, we have the following inequality: 4l < 86 To solve for l, we type this inequality into our search engine...

a carnival charges $6 admission and $2.50 per ride. You have $50 to spend at the carnival. Which of the following inequalities represents the situation if r is the number of rides? We set up our inequality using less than or equal to, since our cash is capped at $50. We use S for our : Cost per...

A car who’s original value was $25600 decreases in value by $90 per month. How Long will it take before the cars value falls below $15000 Let m be the number of months.We have our Book Value B(m) given by: B(m) = 25600 - 90m We want to know when the Book value is less than 15,000. So we have...

An avocado is not ripe until 4 days after picking and will go bad after 7 days after picking. Represent the days the avocado is ripe Our sweet spot for ripeness is 4 days or more but not more than 7 days. Using d as our days, we have the following inequality: 4 <= d <= 7