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The first point on the line coincides with the _________ rate:the rate of increase in elevation of _______ feet per hour.The graph starts at the _____________, because the hikersstarted at base camp.The last point on the line indicates the total elevation increasefor the duration of the hike.Interpreting the Unit RateThe unit rate of the graph of a line is also called the _____________ (measure of a line’s _________________).A greater lower slope means a steeper line will form.slope (unit rate) = rate at which the ____-value changes with a unit increase in the ____-valueFor the line with a slope of 4:The point (____, ____) corresponds to the unitrate. Its coordinates indicate if the x-value changesby 1 unit, the y-value changes by ____ units.This unit rate gives us the slope of the line, .For the other line:The point ( 1, )4_ corresponds to the unit rate.Its coordinates indicate if the__________-value changesby 1 unit, the ____-value changes by 14 of a unit.This unit rate gives us the slope of the line, 14 .

Question

The first point on the line coincides with the _________ rate:the rate of increase in elevation of _______ feet per hour.The graph starts at the _____________, because the hikersstarted at base camp.The last point on the line indicates the total elevation increasefor the duration of the hike.Interpreting the Unit RateThe unit rate of the graph of a line is also called the _____________ (measure of a line’s ______________).A greater lower slope means a steeper line will form.slope (unit rate) = rate at which the -value changes with a unit increase in the -valueFor the line with a slope of 4:The point (, ) corresponds to the unitrate. Its coordinates indicate if the x-value changesby 1 unit, the y-value changes by ____ units.This unit rate gives us the slope of the line, .For the other line:The point ( 1, )4 corresponds to the unit rate.Its coordinates indicate if the-value changesby 1 unit, the ____-value changes by 14 of a unit.This unit rate gives us the slope of the line, 14 .

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Solution

The first point on the line coincides with the initial rate: the rate of increase in elevation of 'x' feet per hour. The graph starts at the origin, because the hikers started at base camp. The last point on the line indicates the total elevation increase for the duration of the hike.

Interpreting the Unit Rate

The unit rate of the graph of a line is also called the slope (measure of a line’s steepness). A greater lower slope means a steeper line will form.

slope (unit rate) = rate at which the y-value changes with a unit increase in the x-value

For the line with a slope of 4:

The point (1, 4) corresponds to the unit rate. Its coordinates indicate if the x-value changes by 1 unit, the y-value changes by 4 units. This unit rate gives us the slope of the line, 4.

For the other line:

The point (1, 1/4) corresponds to the unit rate. Its coordinates indicate if the x-value changes by 1 unit, the y-value changes by 1/4 of a unit. This unit rate gives us the slope of the line, 1/4.

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Similar Questions

The unit rate of the graph of a line is also called the _____________ (measure of a line’s _________________).A greater lower slope means a steeper line will form.slope (unit rate) = rate at which the ____-value changes with a unit increase in the ____-valueFor the line with a slope of 4:The point (____, ____) corresponds to the unitrate. Its coordinates indicate if the x-value changesby 1 unit, the y-value changes by ____ units.This unit rate gives us the slope of the line, .

This unit rate gives us the slope of the line, .

This unit rate gives us the slope of the line, .For the other line:The point ( 1, )4_ corresponds to the unit rate.Its coordinates indicate if the__________-value changesby 1 unit, the ____-value changes by 14 of a unit.This unit rate gives us the slope of the line, 14 .

Instructions: Interpret the slope of the given scenario.A cab company charges a $3$3 flat rate in addition to $1.50$1.50 per mile.In this context, the slope is equal to the change in Answer 1 Question 2 over the Answer 2 Question 2.The slope of this graph is $$ Answer 3 Question 2 per mile. (Enter your answer using proper money notation.)CheckQuestion 2

Identify what the slope of a distance-time graph indicates.Distance travelledAccelerationSpeedHeight

1/3

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