DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 97)

Problem 1 :

Which of the following is an equation of a circle in the xy-plane with center (2, -3) and a circumference of 20π?

A)  (x + 2)² + (y – 3)² = 20

B)  (x – 2)² + (y + 3)² = 20

C)  (x – 2)² + (y + 3)² = 100

D)  (x + 2)² + (y – 3)² = 400

Solution :

Problem 2 :

f(x) = x³ + 2

g(x) = 2x

The functions f and g are defined above. If f(b) = 29, what is the value of g(b)?

Solution :

Problem 3 :

Researchers are attempting to model the growth of the recovering hawskbill turtle population in East Africa. They estimate the population to be 200 in the first year. In the second year, they record the population of 600 turtles. How much greater would the estimated population be in the third year, if the turtle population growth were exponential rather than linear?

A)  800

B)  1000

C)  1200

D)  1800

Solution :

Problem 4 :

The scatterplot above shows the relationship between the speed of the driver and the amount of the fine, in dollars, for 15 speeding tickets issued by a local police department. The line of best fit is also shown. Which of the following is the best interpretation of the slope of the line of best fit in the context of this problem?

A)  The estimated increase in the speed of the driver, in miles per hour, for every 10 dollar increase in the fine.

B) The estimated fine increase, in dollars, for every 10 miles per hour over the speed limit.

C)  The estimated increase in the speed of the driver, in miles per hour, for every one dollar increase in the fine.

D)  The estimated fine increase, in dollars, for every miles per hour over the speed limit.

Solution :

Problem 5 :

A parabola is shown in the xy-plane above, which of the following equations correctly represents the parabola by displaying the x-intercepts of the parabola as constants or coefficients?

A)  y = (x + 1.5)² – 20.25

B)  y = (x – 1.5)² – 20.25

C)  y = (x + 6)(x – 3)

D)  y = (x – 6)(x + 3)

Solution :

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