Using Linear Relations to Solve Problems

Attempt to solve the equation first, then check the boxes to see the steps involved. Uncheck the boxes before a “New Equation”.

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Application : Solving Linear Equations.

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Application: Solving Linear equations.

Each line represents one person’s weekly savings account balance from the start of the year.

(1). Choose one line and write a description of what happens to that person’s account over the first 17 weeks of the year.

(2). Write an equation for line a on the graph.

(3). What do the slope, m, and vertical intercept, b, in each equation mean in the situation?

(4). Write an equation for line h on the graph.

(5). What do the slope, m, and vertical intercept, b, in each equation mean in the situation?

(6). Write an equation for line c on the graph.

(7). What do the slope, m, and vertical intercept, b, in each equation mean in the situation?

(8). Write an equation for line d on the graph.

(9). What do the slope, m, and vertical intercept, b, in each equation mean in the situation?

(10). Write an equation for line e on the graph.

(11). What do the slope, m, and vertical intercept, b, in each equation mean in the situation?

(12). Predict the balance in each account after 20 weeks.

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Application: Solving Linear Equations.

The Fabulous Fish Market orders tilapia, which costs $3 per pound, and salmon, which costs $5 per pound. The market budgets $210 to spend on this order each day.

(1). What are five different combinations of salmon and tilapia that the market can order?

(2). Define variables and write an equation representing the relationship between the amount of each fish bought and how much the market spends.

(3). Sketch a graph of the relationship. Label your axes.

(4). On your graph, plot and label combinations A-F.

(5). Explain or show your reasoning.

(6). List two ways you can tell if a pair of numbers is a solution to an equation.

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Write an equation to represents each of the following relationships.

(1). Grapes cost $2.39 per pound. Bananas cost $0.59 per pound. You have $15 to spend on g pounds of grapes and b  pounds of bananas.

(2). A savings account has $50 in it at the start of the year and $20 is deposited each week. After  weeks, there are  dollars in the account. weeks, there are  dollars in the account.

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Answer the following questions that give a summary of the unit.