QuestionLuke swims at 3 m/s. What is the slope of the line on a graph with time on the -axis and distance on the -axis? Distance in 45 seconds is (45, ).
Studdy Solution
STEP 1
Assumptions1. Luke is swimming at a constant speed of3 meters/second. The relationship is linear, meaning it can be represented by a straight line on a graph3. The time is represented on the x-axis and the distance on the y-axis4. We are asked to find the slope of the line and a point on the line that corresponds to the distance Luke swam in45 seconds
STEP 2
The slope of a line in a graph representing a linear relationship between time and distance is the speed. In this case, the slope is Luke's speed.
STEP 3
Plug in the given value for the speed to calculate the slope.
STEP 4
Now that we have the slope, we can find a point on the line that corresponds to the distance Luke swam in45 seconds. The distance can be found by multiplying the speed by the time.
STEP 5
Plug in the values for the speed and the time to calculate the distance.
STEP 6
Calculate the distance Luke swam in45 seconds.
STEP 7
The point on the line that corresponds to the distance Luke swam in45 seconds is (45,135), where45 is the time in seconds and135 is the distance in meters.
The slope of the line representing the relationship is3 meters/second and a point on this line that corresponds to the distance Luke swam in45 seconds is (45,135).
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