Mathematics, 11.07.2019 09:30 katie713518

Debi walks laps around the mall for exercise during the winter months. the table represents the number of steps recorded on her pedometer as she walks laps around the mall one day. which statement is true about the graph of the line representing debi’s data? - debi walks 1,875 steps per lap around the mall. - one lap around the mall is equal to about 2,425 steps. - one lap around the mall is equal to 4,300 steps. - debi walks 6,175 steps per lap around the mall. laps 0 1 2 3 4 steps 1,875 4,300 6,725 9,150 11,575

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Answer from: at28235

The difference between the number of steps for a given (non-zero) number of laps and the number of steps for one less lap is 2425. The appropriate choice is ...

... One lap around the mall is equal to about 2,425 steps

Answer from: jamiezanfardino1464

second option. One lap around the mall is equal to about 2,425 steps

Explanation:

1) Show the data in an ordered form:

Laps Steps

0 1,875

1 4,300

3 6,725

4 9,150

5 11,575

2) The question states that the graph representing Debi’s data is a line. That means that i) the graph has a constant slope, and ii) the slope - intercept form of the equation that represents it is y = mx + b, where:y is the dependent variable: number of stepsx is the independent variable: number of lapsb is the y-intercept (value of y when x = 0)m is the slope (constant).

m = run / rise = change in y / change in x

3) Find the slope for some pairs of values:

m = [ 4,300 - 1,875] steps / [1 - 0] laps = 2,425 steps/lapsm = [6,725 - 4,300] steps / [2 - 1] laps = 2,425 steps / lapsyou will obtain the same for every pair of poins, m = 2,425 steps / laps

4) The meaning of the slope is the number of steps per one lap around the mall. Hence the answer is the second option: One lap around the mall is equal to about 2,425 steps

Answer from: Quest

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

Answer from: Quest

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step-by-step explanation:

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