Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be mode
led with either function type, drag it into the container labeled Neither.
1 answer:
Answer:
Step-by-step explanation:
A). An investment account earns 2.8% simple interest.
Since investment amount increases every year linearly, therefore, the modeled situation represents a LINEAR FUNCTION.
B). The price of a stock varies by 2.8% each week.
Since price of the stock may increase or decrease every week, therefore, this situation can't be modeled by any function.
Therefore, the answer is NEITHER.
C). An investment account earns 2.8% compound interest, compounded monthly.
Formula to get the value of the final amount in the account is,
Final value = Initial value ×
Here 't' = Duration of investment
It's an EXPONENTIAL FUNCTION.
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Answer:
When x = 15, y= 2
When y= 10, x= 3
Step-by-step explanation:
This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.
We are to complete the table using the relationship between x and y.
Given:
y is inversely proportional to x = y ∝ 1/x
∝ = proportional to
y ∝ 1/x
y = k × 1/x
Where k = constant of proportionality
To understand the relationship between y and x, we need to find the value of k.
y = k × 1/x
From the table,
When x = 6, y = 5
5 = k × 1/6
5 = k/6
k = 6×5 = 30
y = 30 × 1/x
y = 30/x
The above relationship would enable us find the missing parts.
When x = 15, y= ?
y = 30/15
y = 2
When y= 10, x= ?
10 = 30/x
10x = 30
x = 30/10
x= 3
which means