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3 years ago

Ms. Owens has 15 cars. Ms, Cook took some. Now she has 11 left. How many cars did Ms. Cook take?

Mathematics

1 answer:

nasty-shy [4]3 years ago

5 0

Answer:

$4$

Step-by-step explanation:

The total number of cars Ms. Owens has is $15$ .

The number of cars left after Ms. Cook took some were $11$ .

The number of cars taken by Ms. Cook will be the difference of the total number of cars and the number of cars left. So,

$15-11=4$

Hence, the number of cars taken by Ms. Cook were $4$ .

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Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

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Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

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Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.