8. Q8
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Similar Question 1
<p>The graph shows the voltage drop across a capacitor over time while discharging an RC circuit. At <code class='latex inline'>t= 0s</code>, the circuit begins to discharge.</p><p>(a) What is the domain of this function?</p><p>(b) What is the range?</p><p>(c) What is the initial voltage drop across the capacitor?</p><p>(d) What value does the voltage drop across the capacitor approach as more time passes?</p><p>(e) Approximately how long will it take the voltage drop of reach 50% of the initial value?</p>
Similar Question 2
<p>In each case, write an equation that models the situation described. Explain what each part of each equation represents.</p><p>a) the percent of colour left if blue jeans lose 1% of their colour every time they are washed.</p><p>b) the population if a town had 2500 residents in 1990 and grew at a rate of 0.5% each year after that for 1‘ years</p><p>c) the population of a colony if a single bacterium takes 1 day to divide into two; the population is P after t days</p>
Similar Question 3
<p>A disinfectant is advertised as being able to kill 99% of all germs with each application.</p><p>a) Write an equation that represents the percent of germs left with <code class='latex inline'>n</code> applications.</p><p>b) Suppose a kitchen countertop has 10 billion (<code class='latex inline'>10^{10}</code>) germs. How many applications are required to eliminate all of the germs?</p>
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Learning Path
L1 Quick Intro to Factoring Trinomial with Leading a
L2 Introduction to Factoring ax^2+bx+c
L3 Factoring ax^2+bx+c, ex1
Now You Try
<p>In each case, write an equation that models the situation described. Explain what each part of each equation represents.</p><p>a) the percent of colour left if blue jeans lose 1% of their colour every time they are washed.</p><p>b) the population if a town had 2500 residents in 1990 and grew at a rate of 0.5% each year after that for 1‘ years</p><p>c) the population of a colony if a single bacterium takes 1 day to divide into two; the population is P after t days</p>
<p>The graph shows the voltage drop across a capacitor over time while discharging an RC circuit. At <code class='latex inline'>t= 0s</code>, the circuit begins to discharge.</p><p>(a) What is the domain of this function?</p><p>(b) What is the range?</p><p>(c) What is the initial voltage drop across the capacitor?</p><p>(d) What value does the voltage drop across the capacitor approach as more time passes?</p><p>(e) Approximately how long will it take the voltage drop of reach 50% of the initial value?</p>
<p>A disinfectant is advertised as being able to kill 99% of all germs with each application.</p><p>a) Write an equation that represents the percent of germs left with <code class='latex inline'>n</code> applications.</p><p>b) Suppose a kitchen countertop has 10 billion (<code class='latex inline'>10^{10}</code>) germs. How many applications are required to eliminate all of the germs?</p>
<p>A spotlight uses coloured gels to create the different colours of light required for a theatrical production. Each gel reduces the original intensity of the light by 3.6%.</p><p>a) Write an equation that models the intensity of light, <code class='latex inline'>I</code>, as a function of the number of gels used.</p><p>b) Use your equation to determine the percent of light left if three gels are used.</p><p>c) Explain why this is an example of exponential decay.</p>
<p>Tungsten-187 (W—187) is a radioactive isotope that has a half-life of 1 day. Suppose you start with a 100-mg sample.</p><p>a) Make a table of values that gives the amount of -187 remaining at the end of each day for the next 4 days.</p><p>b) Write an equation in the form <code class='latex inline'>f(x) = ab^x</code> to relate the amount of W487 remaining and time. Identify what each variable in the equation represents and give the appropriate unit for each variable.</p><p>c) Sketch the graph of the relation. Describe the shape of the curve.</p><p>d) How much W-187 will remain after 1 week?</p><p>e) How long will it take for the amount of W-187 to decay to 5% of its initial amount? Describe the tools and strategies you used to solve this.</p>
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