Part 1:
The y-intercept is the value of y when x is zero. It is the initial value of a function represented by a graph.
Given that t<span>he first time a census was taken in Esinville, the population was 12,621, then the </span><span>coordinates of the point that contains the y-intercept is (0, 12621)
Part 2:
Given that </span>he notices the price is getting more expensive, at a rate of 7% per week (i.e. the graph increases from left to right).
Thus, the graph does not decrease from left to right but increases from left to right.
Given that t<span>he first time he bought them, they cost $2.60, thus point (0, 2.60) is on the graph.
From the graph it can be seen that the graph crosses the x axis at a negative value of x, thus point (2.6, 0) in not on the graph; the graph have only a y axis (since it is not possible to have a negative number of biscuit).
Therefore, the statements that are true are:</span><span>
The point (0, 2.60) is on the graph.
The graph has a y-intercept only.
The graph increases from left to right.
Part 3:
The amount of subtance left of a radioactive substance after a time of t seconds is given by:
where t ≥ 0.
Therefore, the graph is in the positive x-axis and because exponential function always results in a postive number the graph is also in the positive y-axis.
Since the graph is in the positive x-axis (i.e. x is positive) and the graph is also in the positive y-axis (i.e. y is positive), the graph is in the 1st quadrant.
Therefore, the quadrant in which </span><span>the scientist will sketch the graph is in quadrant 1 only.
Part 4:
From the given graph it an be seen that as the </span><span>altitude continues to increase, the atmospheric pressure approaches 0 oz/cm^2.
It can also be seen that </span>as the altitude decreases, the atmospheric pressure increases.
Therefore, the statements accurately reflect this relationship are:
<span>As the altitude continues to increase, the atmospheric pressure approaches 0 oz/cm2 .
As the altitude decreases, the atmospheric pressure increases.
Part 5:
From the graph it can be seen that </span><span>as the number of cake tiers increases without bound, the total monthly sales increase without bound.
</span><span>Therefore, the true statement is:
As the number of cake tiers increases without bound, the total monthly sales increase without bound.</span>