Problem 1 :
For the function f, f(0) = 86, and for each increase in x by 1, the value of f (x) decreases by 80%. What is the value of f (2)?
Solution :
Problem 2 :
In the xy-plane, a line with equation 2y = 4.5 intersects a parabola at exactly one point. If the parabola has equation y = -4x^{2} + bx, where b is a positive constant, what is the value of b ?
Solution :
Problem 3 :
The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.
At x = 32, which of the following is closest to the y-value predicted by the line of best fit?
A) 0.4
B) 1.5
C) 2.4
D) 3.3
Solution :
Problem 4 :
In a group, 40% of the items are red. Of all the red items in the group, 30% also have stripes. What percentage of the items in the group are red and have stripes?
A) 10%
B) 12%
C) 70%
D) 75%
Solution :
Problem 5 :
The density of a certain type of wood is 353 kilograms per cubic meter. A sample of this type of wood is in the shape of a cube and has a mass of 345 kilograms. To the nearest hundredth of a meter, what is the length of one edge of this sample?
A) 0.98
B) 0.99
C) 1.01
D) 1.02
Solution :
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