Linear Functions Formative 2

The correct answer includes options A, C, and D. This means that these options are the linear equations among the given choices. The other options, B, E, and F, are not linear equations.

The correct answer includes options B, E, and F. These options are considered non-linear equations because they do not follow a straight line when graphed. Option A, C, and D are not non-linear equations as they represent linear equations that can be graphed as straight lines.

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The given scenario does not model a linear relationship because a linear relationship implies that the value of the house would increase by a constant amount each year. However, in this case, the value of the house increases by a percentage (3%) each year, which means that the increase is not constant but rather proportional to the current value of the house. Therefore, it does not follow a linear pattern.

Based on the given options, it can be inferred that the value of Joanna's house will increase over time. Among the options, the closest value to the initial worth of the house ($218,000) is $218,550. This suggests that after the third year, the value of Joanna's house will increase by $550, resulting in a worth of $218,550.

The given answer states that Graph B is always increasing and Graph A is not. This means that the values of Graph B consistently increase as the independent variable increases, while the values of Graph A do not follow a consistent upward trend.

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The explanation for the correct answer is that a linear pattern is characterized by a constant rate of change, where the values increase or decrease at a consistent rate. In Graph A, the values do not follow a consistent rate of change, indicating a non-linear pattern. On the other hand, Graph B shows a consistent rate of change, which suggests a linear pattern. Therefore, the correct answer is that Graph A is non-linear and Graph B is linear.

Yes, this represents a linear relationship because Joe's hourly wage is constant at $8.00 per hour and the cost of his uniform is a fixed amount of $24.99. Linear relationships involve a constant rate of change, and in this case, the rate of change is $8.00 per hour for Joe's wage and $0.00 per hour for the cost of his uniform.

Joe will need to work for 22 hours in order to make more than $150. This can be inferred because the question asks how many hours Joe needs to work to make more than $150, and the answer given is 22.

The given data shows an increase in the number of fish in the pond over time. In 2002, there were 520 fish, in 2005 there were 580 fish, and in 2008 there were 640 fish. The increase in the number of fish per year is consistent, with an increase of 60 fish between 2002 and 2005, and another increase of 60 fish between 2005 and 2008. This consistent increase suggests a linear relationship, where the number of fish in the pond per year can be modeled by a straight line. Therefore, the answer is yes.

The rate of change for the problem is 20.

No, the relationship does not represent a linear relationship. In a linear relationship, the change in one variable is proportional to the change in another variable. However, in this case, the number of cells is doubling each day, which means the relationship is exponential. The number of cells is increasing at an increasing rate, not a constant rate.

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This answer suggests that Table A is showing an upward trend, with values increasing over time, while Table B does not exhibit any consistent trend and may have values that fluctuate or remain constant.

The answer is Table B has a constant rate of change because the values in Table B increase or decrease by the same amount for each corresponding input value. This indicates that there is a consistent and constant rate of change between the input and output values in Table B.