An invasive species of beetle is infecting rhubarb plants Dr Cricket an entomologist from the Extension Offices was monitoring the population growth of the beetle on one rhubarb farm She found 100 beetles in one region four days after she was notified of the beetles t 4 She returned five days later t 9 and found 175 beetles in the same region A If t is the number of days since Dr Cricket was notified of the beetles 1 Model the number of beetles with a linear formula n t mt b n t t 2 Explain what m and b mean in the context of the number of beetles m is the slope it means b is the y intercept it means 3 Use your equation to find n 12 4 Use your equation to find t when n t 1000 B If t is the number of days since Dr Cricket was notified of the beetles 1 Model the number of beetles with an exponential function p t A B You will need to calculate both values from the given information not from the calculations you made in part A Make sure B has 4 places in the decimal A can be rounded to the nearest whole number p t t 2 Explain what A and B mean in the context of the number of beetles growing at an exponential rate A means B means 3 Use your exponential equation to find p 12 4 Use your exponential equation to find t when p t 1000