Isaac keeps track of the miles per gallon his car gets per week. he has accumulated the following data:

(1, 24), (2, 24.48), (3, 24.97), (4, 25.47)

what is the common difference or ratio?

the common difference is 0.48.

the common difference is 0.50.

the common ratio is 0.98.

the common ratio is 1.02.

we know that

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant

so

Let

therefore

The common ratio is equal to

the answer is

The common ratio is 1.02

The common ratio is 1.02

Step-by-step explanation:

An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant. This ratio is called the common ratio.

From data the differences between two consecutive terms are:

24.48 - 24 = 0.48

24.97 - 24.48 = 0.49

25.47 - 24.97 = 0.5

Then, there is no common difference and the sequence is not arithmetic.

From data the ratio between two consecutive terms terms are:

24.48/24 = 1.02

24.97/24.48 = 1.02

25.47/24.97 = 1.02

Then, the common ratio is 1.02 and the sequence is a geometric one.

no, the equation would be invalid since they are both not equal.

step-by-step explanation:

here you got

4y-6+4y 2-9

first, you would simplify the equation on the form.

4y-6+4y 2-9

then, move all the terms that contains a y to the left and all the other terms to the right.

+4y-4y+-9-6

finally, you will simplify the left and the right side of the equation.

y=-3