Question

research suggests that the probability of a certain fuse malfunctioning increases exponentially as the concentration of an impurity in the fuse increases. the probability is modeled by the function y=3(257,959)x where x is the impurity concentration and y, given as a percent, is the probability of the fuse malfunctioning. find the probability of the fuse malfunctioning for an impurity concentration of 0.17. round to the nearest percent.

Answer 1

Given that the probability is modeled by the function
$y=3(257,959)^x[tex] where x is the impurity concentration and y, given as a percent, is the probability of the fuse malfunctioning. Then, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is given by [tex]y=3(257,959)^{0.17}=3(8.316941)=24.95$

Therefore, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is 25% to the nearest percent.