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

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

in the math equation 8 x 7 = 56, the 8 and the 7 are both factors of 56, since in this lesson we will use square tiles to figure out the factors of a whole find as many different arrays as you can, but follow one important rule: all the rows must have the i can make two rows of nine, so 2 and 9 are both factors of 18.

step-by-step explanation: