Week 5 Day 2 Lesson Summary
- Katie Akesson
- creating a table to help us see how a quantity changes or how two quantities might be related
- looking for a pattern in the table: noticing how the values in a table change from one row to the next, or from one column to the next
- trying different numbers for one variable and observing how they affect the other variables
A student starts a new semester with $30 in their lunch account. Each lunch at school costs $1.75. What's the relationship between the number of school lunches purchased, n, and the dollar amount in the account, A?
A chef is pouring oil from a large jug into equal-size bottles. This table shows the relationship between the number of bottles used and the volume of oil, in fluid ounces, in each bottle. Write an equation to show this relationship.
An equation that contains two unknown quantities or two quantities that vary is called an equation in two variables. A solution to such an equation is a pair of numbers that makes the equation true. Suppose Tyler spends $45 on T-shirts and socks. A T-shirt costs $10 and a pair of socks costs $2.50. If t represents the number of T-shirts and p represents the number of pairs of socks that Tyler buys, we can can represent this situation with the equation: 10t + 2.50p = 45 This is an equation in two variables. More than one pair of values for t and p make the equation true. 2 possible solutions: t = 3 and p = 6, because 10(3) + 2.50(6) = 45 t = 4 and p = 2, because 10(4) + 2.50(2) = 45 What is another possible solution?