Answer:
<em />
<em />

Step-by-step explanation:
Given
In 1990; Income= $39000
In 2010; Income= $70768
Solving (a): An equation in form of f(x) = ax + b
First, we need to determine the slope, a

Taking y as income and x as year index.
When x = 0; y = 39000
When x = 20; y = 70768
Substitute these values in the above formula



Next, is to determine the formula using:

<em>Considering :When x = 0; y = 39000, we have</em>
<em />
<em />
<em />
<em />
<em>Make y the subject of formula</em>
<em />
<em />
<em />
<em>Express y as a function of x</em>
<em />
<em />
Solving (b): Income in 2005
<em>In 2005, x = 15</em>
So:
becomes


Answer:
D
Step-by-step explanation:
You can see from the table that joules out = 4x moles in
for 32 moles 32 * 4 = 128 joules
Answer:
Step-by-step explanation:
A
The expression for 7 less than the product of a number and 8, increased by a number multiplied by 2 is 8n-7 +2n
Given :
7 less than the product of a number and 8, increased by a number multiplied by 2
We need to write the given statement in an expression
Lets 'n' be the unknown number
the product of a number and 8
Product means multiplication
the product of a number and 8 mean n times 8 that is 8n
7 less than the product of a number and 8, subtract 7 from 8n
Expression becomes 8n-7
This is increased by a number multiplied by 2
number multiplied by 2 is 2n
So the final expression for the given statement is 8n-7 +2n
Learn more : brainly.ph/question/1023996