DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 239)

Problem 1 :

The scatterplot above shows the ticket price for a school music concert and the profit made when the ticket was sold at different prices. A quadratic model that best fits the data was drawn on the scatterplot. For a ticket price $40, which of the following is closest to the percent decrease from the actual profit to the profit predicted by the curve of best fit?

A)  25%

B)  29%

C)  40%

D)  50%

Solution :

Problem 2 :

In the xy-plane above, OP is perpendicular to PR. What is the value of k?

A)  5

B)  2√10

C)  8

D)  3√5

Solution :

Problem 3 :

A small computer monitor manufacturing company produces 10-inch and 20-inch sized monitors. The table aboveshows how many hours are required on each machine per day in order to produce the monitors. If x represents the number of 10-inch monitors and y represents the number of 20-inch monitors, which of the following systems represents all the constraints that x and y must satisfy?

A)

x ≥ 0

y ≥ 0

x + 2y ≥ 20

2x + 3y ≥ 15

B)

0 ≤ x ≤ 3

0 ≤ y ≤ 5

x + 2y ≤ 20

2x + 3y ≤ 15

C)

x ≥ 0

y ≥ 0

x + 2y ≤ 20

2x + 3y ≤ 15

D)

x ≥ 0

y ≥ 0

x + 2y = 20

2x + 3y = 15

Solution :

Problem 4 :

The triangle above was altered by increasing its base by 20 percent and decreasing its height by k percent. If these alterations decreased the area of the triangle by 16 percent, which of the following is the value of k?

A)  20

B)  25

C)  30

D)  40

Solution :

Problem 5 :

P(x) = x² – 5x + k

In the function above, k is a constant. When a polynomial P(x) is divided by x – 1, the remainder is 3. If P(x) is divided by x + 1, what is the remainder?

A)  3

B)  4

C)  7

D)  13

Solution :

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