1.5.5 Examining an Equation in Two Variables and Its Graph, Part 2

Algebra 11.5.5 Examining an Equation in Two Variables and Its Graph, Part 2

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A ceramic sugar bowl weighs 340 grams when empty. It is then filled with sugar. One tablespoon of sugar weighs 12.5 grams.

Write an equation to represent the relationship between the total weight of the bowl in grams, $W$ , and the tablespoons of sugar, $T$ .

Compare your answer:

$W = 340 + 12.5 T$ , or $340 + 12.5 T = 740$

When the sugar bowl is full, it weighs 740 grams. How many tablespoons of sugar can the bowl hold? Be prepared to show your reasoning.

Compare your answer:

32 tablespoons; $740 = 340 + 12.5 T$ $400 = 12.5 T$ ; Subtract 340 from both sides. $32 = T$ ; Divide both sides by 12.5.

The graph represents the relationship between the number of tablespoons of sugar in the bowl and the total weight of the bowl.

A line graph showing weight in grams (y-axis) versus sugar in tablespoons (x-axis), with labeled points A, B, C, and D along the line. The line rises steadily as sugar increases.

Which point on the graph could represent your answer to the previous question?

Compare your answer:

Point D, because its coordinates could be (32, 740).

About how many tablespoons of sugar are in the bowl when the total weight is 600 grams?

Compare your answer:

About 21 tablespoons. Looking at the graph, when the weight is 600, the line is about at 21.

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