The relationship between the time a politician has been in office and his approval rating can be modeled by the equation y = –0.01x + 70, where x is his time in office in days and y is his approval rating as a percent. Which of these statements is true according to the model?

Because of absence of options, I have listed statements that are true; according to the model.

Step-by-step explanation:

To answer this, we find all possible explanations to the model. First, we know that:

X = time in office (in days)

Y = approval rating (in percentage)

The constant term in the model is 70

So the true statements that can be derived are:

(A) Y is inversely related to X. This is obvious because of the difference in sign of the coefficient of Y and that of X.

The coefficient of Y is +1

The coefficient of X is -0.01

Y has a positive coefficient while X has a negative coefficient.

The inverse relationship hence implies that the more days the politician spends in office, the less his percentage approval rating (and vice versa)!

Testing;

If X = 10 days, Y = 69.9%

If X = 20 days, Y = 69.8%

If X is 30 days, Y = 69.7%

(B) The rate at which approval rating drops is very slow; compared to the increase in number of days in office. A 10 day increase in number of days in office only results in a 0.1 or 10% decrease in percentage approval ratings.

(C) The longer a politician stays in office, the less his approval rating.

(D) The percentage approval rating is greatly influenced or increased by the constant term 70

hi there!

the answer to this question is d: 35

step-by-step explanation:

5 to the power of 2 is 25

2 multiplied by 5 is 10

then you add the 2 numbers and you get 35

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