The 25 members of the track team must each buy a t - shirt that costs 18.54. There are 9 members who have already bought shirts. How much money remains to be collected from the members who have NOT yet bought shirts?

$296.64

Step-by-step explanation:

First, multiply 18.54 with 25.

18.54 x 25 = 463.5

Nine of the members have already paid for the cost. Multiply 18.54 with 9, and subtract the amount gotten from the total.

18.54 x 9 = 166.86

463.5 - 166.86 = 296.64

$296.64 still needs to be collected from the members who have not bought a shirt yet.

this question relies purely on our observation of the graph and a knowledge of the behaviour of a graph of a hyperbola.

now, what we should realise is that there are two asymptotes - one at x = 0 and one at y = 0. what this means is that the graph will gradually approach, but never touch, these two lines. so, as x becomes more positive (ie. 'a very large positive number'), it will get closer to the line y = 0 (ie. the x-axis) - which means that the value of f(x) will gradually become smaller and closer to 0 - but will never reach it.

we can also observe this from the right half of the graph, where the graph gradually lowers closer and closer to the x-axis as x increases. what is important to note however is that it will never actually touch the x-axis (ie. f(x) will not equal 0) since there is an asymptote there. given this, we can see that option d, f(x) is a very small positive number, would be correct.