## dietrich_harmon 2 years ago A scientist counts 35 bacteria present in a culture and finds that the number of bacteria triples each hour. The function y = 35 • 3x models the number of bacteria after x hours. Graph the function. (You do not need to submit the graph). Use the graph to estimate when there will be about 550 bacteria in the culture.

1. dietrich_harmon

hello?

2. ktnguyen

3. dietrich_harmon

can u explain in a other way

4. dietrich_harmon

@ktnguyen

5. satellite73

the function should be $$A(x)=35\times 3^x$$

6. satellite73

solve the equation $550=35\times 3^x$ by first dividing by 35 to get $\frac{110}{7}=3^x$ then change of base to get $x=\frac{\ln(\frac{110}{7})}{\ln(3)}$

7. satellite73

i get about 2.5 so two and a half hours if you have not discussed logarithms yet, take out a calculator and try $$35\times 3^x$$ with various values for $$x$$ when you get to $$x=2.5$$ you will see the result is about 550

8. dietrich_harmon

thank u thank u