DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 96)

Problem 1 :

A circle in the xy-plane with center (4, 0) passes through the point (7, 4). Which of the following is the equation of the circle?

A)  (x – 4)² + y² = 9

B)  (x – 4)² + y² = 25

C)  (x – 4)² + y² = 5

D)  (x + 4)² + y² = 5

Solution :

Problem 2 :

The graph of the function f is shown in the xy-plane above. Which of the following is the average rate of change between x = -3 and x = 6?

A)  2/9

B)  8/9

C)  2

D)  It cannot be determined from the given information

Solution :

Problem 3 :

Emily traveled 60 miles on the highway and 16 miles on the local roads to reach her destination. On the highway, she traveled 30 miles faster than on the local roads. If her speed on local roads is 20 miles per hour, then what was her average speed, in miles per hour, during her entire trip?

A)  24

B)  25

C)  35

D)  38

Solution :

Problem 4 :

For O.K theatre tickets, a ticket for an adult is 5 dollars more than a ticket for a child. If a group of 6 adults and 10 children pay a total of 142 dollars, what is the cost, in dollars, of a ticket for one adult and one child?

A)  19

B)  18

C)  17

D)  16

Solution :

Problem 5 :

The scatterplot above shows the distance traveled in hours for 10 taxi drivers and the line of best fit for the data. Which of the following is closest to the average speed, in miles per hour, for the drivers?

A)  54

B)  59

C)  65

D)  68   

Solution :

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