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sweet [91]
2 years ago
13

Ivan found the change in a scale factor. His work is shown below. What error did Ivan make?

Mathematics
2 answers:
AlladinOne [14]2 years ago
9 0
Ivan wrote the ratio incorrectly. The ratio should be written as the old length to the new length, so it should be <span>35/10</span><span>, which reduces to </span><span>7/2</span><span>. When going from larger to smaller dimensions, the change in the scale factor is a ratio that looks like an improper fraction, with a larger number in the numerator and a smaller number in the denominator.</span>
Tresset [83]2 years ago
5 0
Scale factor is:
factor = (new length) / (old length)
Ivan correctly inserted numbers and correctly divided these two numbers by 5.

There is no error in the shown picture.
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The function d=0.006s squared represents the braking distances d in meters of a car at a speed s in kilometer per second.Graph t
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Answer:

Part 1) The graph in the attached figure

Part 2) The value of s is approximately 45 km/sec

Step-by-step explanation:

<u><em>The complete question is</em></u>

The function d=0.006s² represents the braking distances d in meters of a car at a speed s in kilometer per second.Graph the function. Then use your graph to estimate the speed of the car if its braking distance is 12 meters

Part 1) Graph the function

Let

s ----> the speed in kilometers per second

d ----> the braking distances in meters

we have

d=0.006s^2

This is a quadratic equation (vertical parabola) open upward (the leading coefficient is positive)

The vertex represent a minimum

The vertex is the origin

The axis of symmetry is the y-axis

Find the values of d for different values of s

so

For s=0 km/sec ----> d=0.006(0)^2=0\ m ---> point (0,0)

For s=20 km/sec ----> d=0.006(20)^2=2.4\ m ---> point (20,2.4)

For s=30 km/sec ----> d=0.006(30)^2=5.4\ m ---> point (30,5.4)

For s=40 km/sec ----> d=0.006(40)^2=9.6\ m ---> point (40,9.6)

For s=50 km/sec ----> d=0.006(50)^2=15\ m ---> point (50,15)

To graph the function plot the points and connect them  

see the attached figure

Part 2) Use your graph to estimate the speed of the car if its braking distance is 12 meters

Looking at the graph

For d=12 m

The value of s is approximately 45 km/sec

see the attached figure

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2 years ago
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