Answer:
Step-by-step explanation:
Let
x ----> the number of stickers
y ----> the price of the boxes
we have the points
<em>Find the slope</em>
<em>Find the equation of the line into point slope form</em>
The equation is equal to
substitute the value of m and the point A
----> linear equation that represent the situation
Move the constant to the right-hand side and change its sign to minus sign since it is in plus
Subtract the numbers
Divide both sides of equation by 3
The <em><u>correct answer</u></em> is:
Explanation:
To write a composite function, we apply one function to another given function. In this case, we want to find area in terms of time; this means that the function A(r) gets applied to the function r(t).
In order to do this, we replace r with r(t). We already know that r(t)=0.5+2t; this means we replace r with 0.5+2t:
A(r(t))=π(0.5+2t)²
To simplify this, we simplify the squared term:
A(r(t)) = π(0.5+2t)(0.5+2t)
A(r(t)) = π(0.5*0.5+0.5*2t+2t*0.5+2t*2t)
A(r(t)) = π(0.25+t+t+4t²)
A(r(t)) = π(0.25+2t+4t²)