3 years ago

Steve increases his math average by 9 points over a period of 15 weeks. How many points per week did he average?

1 answer:

5 0

You find it by looking for the key words "points per week"

per means basically divide. POINTS DIVIDED BY WEEKS

so 9 divided by 15....
but when they ask "did he average..... just in case, write the answer of 9/15 rounded, AND as the unrounded decimal..... or this is a whole different topic, and this might not be the answer your teacher is looking for.... but that's that.

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Step-by-step explanation:

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$S_n=\frac{a(r^n-1)}{r-1}\\1023.75=\frac{0.75(4^n-1)}{4-1}\\ 1023.75=\frac{0.75(4^n-1)}{3}\\3\times 1023.75=0.75(4^n-1)\\3071.25=0.75(4^n-1)\\4^n-1=\frac{3071.25}{0.75}\\4^n-1=4095\\4^n=4095+1\\4^n=4096$

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