g(x) = the quantity of x minus one, over four
g(x) = (x-1)/4
g(5) = (5-1)/4
g(5) = 4/4
g(5) = 1
f(x) = x2 − 3x + 3
f(g(5)) =1^2 − 3(1) + 3
f(g(5)) = 1 - 3 + 3
f(g(5)) = 1
making x the subject
substitute into second equation
by solving, y=5
substitute into first equation
by solving, x=-3
Therefore the ordered pair is (-3,5)
Since there is a flat membership fee of $18, the y intercept is 18. And since there is a $3 fee per number of video games rented, n, the slope or rate of change of the linear equation is 3. The slope-intercept form of a line is:
f(x)=mx+b, where m=slope and b=y-intercept so in terms of n, games rented, the cost, f(n) is:
f(n)=3n+18
The second 4 is greater than the first one
The answer is B. The dotted line tells you that the equations will be "greater than" or "less than". A solid line would indicate that it would be "greater than or equal to" or "less than or equal to". Then, since C and D can be eliminated, you look at which equations graphs the line. The answer must be B because the y-intercept is -1 (remember that the equation of a line is y = mx + b, where b is the y-intercept).
