Answer:
A: Exponential
B: Quadratic
C: Linear
Step-by-step explanation:
Let analyse each table
X Y ΔY/ΔX
1 5 xxxxxx
2 11 11 - 5 = 6
3 29 29 - 11 = 18
4 83 83 - 29 = 54
.....................
We can see that, [ ΔY/ΔX ] increases at the fastest rate out of all functions, so it must be exponential function
X Y ΔY/ΔX Δ^2Y/ΔX^2
0 5 xxxxxx xxx
1 7 7 - 5 = 2 xxx
2 13 13 - 7 = 6 6-2 = 4
3 23 23 - 13 = 10 10-6 = 4
..............................
It is a quadratic because Δ^2Y/ΔX^2 = 4 and are constant for all values
X Y ΔY/ΔX
3 20 xxxxxx
6 18 2 / 3
9 16 2 / 3
15 12 2 / 3
..............
It is a linear because ΔY/ΔX = 2/3 are constant for all values
Answer:
Step-by-step explanation:
because it is a negative line in the graph
Answer:2.19 monthd
Step-by-step explanation:
Cris borrowed money from her brother 6 months ago. She now owes him 56.50
Let x= original money borrowed from her brother 6 months ago
She has not borrowed and she is paying 15.75 on her debt each month for the last 6 months. This means in the past 6 months,she has paid 15.75×6= 94.5
She now owes him 56.50. This means original money,x-56.50 =94.5
x = 94.5+56.50=151
If she now increases her monthly payment to 25.75, let the number of months be y, she will pay 25.75y in y months
25.75y =56.50
y =2.19 months