Concept explainers
Try these problems to see if you understand the concepts we just studied. The answers can be found at the end of the Portfolio section.
Find the slope-intercept equation of the line that goes through the points
Want to see the full answer?
Check out a sample textbook solutionChapter 3 Solutions
Pathways To Math Literacy (looseleaf)
- When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $14,000 a year with acommission of 10% of your sales • Option B: Base salary of $19,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?arrow_forwardIn the situation of the example, how long could you keep the car if your expense account allowed 242?arrow_forwardWhen hired at a new job selling jewelry, you aregiven two pay options: • Option A: Base salary of $17,000 a year with acommission of 12% of your sales • Option B: Base salary of $20,000 a year with acommission of 5% of your sales How much jewelry would you need to sell for optionA to produce a larger income?arrow_forward
- To set up a model linear equation to fit real-world applications, what should always be the first step?arrow_forwardThe Federal Helium Reserve held about 16 billioncubic feet of helium in 2010 and is being depleted byabout 2.1 billion cubic feet each year. a. Give a linear equation for the remaining federalhelium reserves, R, in terms of t, the number of years since 2010. b. In 2015, what will the helium reserves be? c. If the rate of depletion doesn’t change, in what year will the Federal Helium Reserve be depleted?arrow_forwardWhen hired at a new job selling electronics, you aregiven two pay options: • Option A: Base salary of $10,000 a year with acommission of 9% of your sales • Option B: Base salary of $20,000 a year with acommission of 4% of your sales How much electronics would you need to sell foroption A to produce a larger income?arrow_forward
- You are choosing between two different prepaid cellphone plans. The first plan charges a rate of 26 centsper minute. The second plan charges a monthly fee of $19.95 plus 11 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable?arrow_forwardGraph the line passing through the point (2,2) with the slope m=43 .arrow_forwardIf you perform your break-even analysis and there is more than one solution, explain how you would determine which x-values are profit and which are not.arrow_forward
- You are choosing between two different windowwashing companies. The first charges $5 per window.The second charges a base fee of $40 plus $3 perwindow. How many windows would you need tohave for the second company to be preferable?arrow_forwardA farmer finds that if she plants 75 trees per acre,each tree will yield 20 bushels of fruit. She estimatesthat for each additional tree planted per acre, theyield of each tree will decrease by 3 bushels. Howmany trees should she plant per acre to maximizeher harvest?arrow_forwardFor exercises 17 and 18, use this scenario: A retired woman has $50,000 to invest but needs to make $6,000 a yearfrom the interest to meet certain living expenses. One bond investment pays 15% annual interest. The rest of it shewants to put in a CD that pays 7%. 17. If we let xbe the amount the woman invests in the 15% bond, how much will she be able to invest in the CD?arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningAlgebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning