On the number line above, a and b represent distances between numbers as shown. If the ratio of a to b is 1 to 6, what is the value of b ?
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Originally Posted by aeroflix On the number line above, a and b represent distances between numbers as shown. If the ratio of a to b is 1 to 6, what is the value of b ? 1 is to six as k is to k^2. Set up and solve.
36?
Originally Posted by aeroflix 36? Yes, that is k^2...k^2-k=b, right?
but according to here SAT Skills Insight check skill 8 exanple. the answer is 42. what the? their wrong
Originally Posted by aeroflix but according to here SAT Skills Insight check skill 8 exanple. the answer is 42. what the? their wrong 42=k+k^2...so I would say that they are wrong, but I've been known to be wrong myself at times. It's elementary $\displaystyle \frac{1}{6}=\frac{k}{k^2}$ $\displaystyle \frac{1}{6}=\frac{1}{k}$ $\displaystyle k=6,k^2=36$... Maybe Im not seeing things right.
yah , they say b is 42. and we say b is 36. did u check the website?
Originally Posted by aeroflix On the number line above, a and b represent distances between numbers as shown. If the ratio of a to b is 1 to 6, what is the value of b ? $\displaystyle \frac{a}{b} = \frac{k}{k^2-k}$ $\displaystyle \frac{1}{6} = \frac{1}{k-1}$ $\displaystyle k-1 = 6$ $\displaystyle k = 7$ $\displaystyle b = k^2 - k = 49 - 7$
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