Table A
x y
4 1
8 2
12 3
16 4
Compare the table of Object A and the equation y = 5x of Object B. Which of the two moving objects has greater speed and by what factor? (round to nearest hundredth)

A) Object A by a factor of 1.05

B) Object B by a factor of 1.05

C) Object A by a factor of 1.25

D) Object B by a factor of 1.25

D

Step-by-step explanation:

1. Find the rate of change of the graph. Which is 4.

2. Because 5 is greater of 4, Object B has the greater speed.

3. To find the factor you must divide 4 from 5.  5 ÷ 4

4. 5 ÷ 4 = 1.25

5. The correct answer is D

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for