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Math  /  Algebra

QuestionUse the orderd pairs in Problems 2 and 3 to graph a line for the function V=3+2tV=3+2 t

Studdy Solution

STEP 1

1. The function V=3+2t V = 3 + 2t represents a linear relationship between time t t and volume V V .
2. The ordered pairs from Problems 2 and 3 are not provided, so we will generate our own points using the function.
3. We will choose appropriate values of t t to calculate corresponding V V values for plotting.

STEP 2

1. Choose values for t t and calculate corresponding V V values to generate ordered pairs.
2. Plot the ordered pairs on the graph.
3. Draw the line that represents the function V=3+2t V = 3 + 2t .

STEP 3

Choose values for t t to calculate corresponding V V values. Let's choose t=0 t = 0 and t=10 t = 10 .
For t=0 t = 0 :
V=3+2(0)=3 V = 3 + 2(0) = 3
The ordered pair is (0,3) (0, 3) .
For t=10 t = 10 :
V=3+2(10)=23 V = 3 + 2(10) = 23
The ordered pair is (10,23) (10, 23) .

STEP 4

Plot the ordered pairs (0,3) (0, 3) and (10,23) (10, 23) on the graph.
- Locate the point (0,3) (0, 3) on the graph where the x-axis (Time) is 0 and the y-axis (Volume) is 3. - Locate the point (10,23) (10, 23) on the graph where the x-axis (Time) is 10 and the y-axis (Volume) is 23.

STEP 5

Draw a straight line through the points (0,3) (0, 3) and (10,23) (10, 23) to represent the function V=3+2t V = 3 + 2t .
- Ensure the line extends across the graph to show the linear relationship.
The graph now represents the function V=3+2t V = 3 + 2t using the plotted line.

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