Suckless SAT Practice

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Practice one SAT question at a time

Questions come from the Bluebook question bank.

Function $f$ is defined by $f (x) = - a^{x} + b$ , where $a$ and $b$ are constants. In the xy-plane, the graph of $y = f (x) - 12$ has a y-intercept at $(0, - \frac{75}{7})$ . The product of $a$ and $b$ is $StartFraction 320 Over 7 EndFraction$ . What is the value of $a$ ?

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Use the exact value the question expects unless it says to round.