1. 3x+16 = 5x-54
-3x -3x
16=2x-54
+54 +54
70 = 2x
35=x
2. 4x-10 = 58
+10 +10
4x = 68
x=17
3. 2x+43 = 2x-3
x=0
no solution
4. x+16 = 4x-5
-x -x
16=3x-5
+5 +5
21=3x
x=7
5. 11y-36 = 63
+36 +36
11y=99
y=9
linear function with a positive rate of change
exponential decay function
exponential growth function
Answer: linear function with a negative rate of change
Step-by-step explanation:
A linear function is of the form where x is a independent variable and y is a dependent variable . Here the dependent variable increase ( or decrease)c with a constant rate of increase (or decrease).
An exponential functionis a mathematical function of the form where x is a independent variable, and A is a constant called the initial value of the function. Here the dependent variable increase ( or decrease)c with a constant ratio or percentage.
Given: $1000 is taken out of a bank vault each day and nothing is added back.
So the money in the bank vault decreasing by a constant rate of $1000.
Thus, this shows linear function with a negative rate of change models the situation.
x x
x x
x x x x
x x x x x
x x x x x
<----l-------l--------l-------l-------l--->