A guinea pig owner has 21 m of chicken wire. She wishes to construct an outdoor...

 

Transcribed Image Text:

A guinea pig owner has 21 m of chicken wire. She wishes to construct an outdoor rectangular enclosure next to her garage with a total area of 11 square metres, subdivided into four equal regions. She will use the chicken wire to separate and enclose each of the regions. Sketch and label the scenario. Find the overall length and width of the enclosure so that the length is less than 5.3 metres. 1. Solve a Rational Equation The effluent from a gold mine is being filtered to reduce the particulate concentration of a toxic heavy metal to a safe level. The function, C(x), represents the pollutant concentration in ppm as a function of the number of filters that the effluent must pass through, x. C(x) 2x x-5 = x+3 x+2 a) Determine the concentration of pollutants, as a decimal, if no filters are placed in the effluent stream. b) Algebraically determine the number of filters required to reduce the concentration to 1.25 ppm. To do this, set C to - and solve the resulting equation for x. There will be two answers but only one answer is valid in the practical domain of the problem. Show all your algebra steps! Check your answer by graphing the function and graphing the line y = 1.25 using DESMOS. The point of intersection should be your solution. A guinea pig owner has 21 m of chicken wire. She wishes to construct an outdoor rectangular enclosure next to her garage with a total area of 11 square metres, subdivided into four equal regions. She will use the chicken wire to separate and enclose each of the regions. Sketch and label the scenario. Find the overall length and width of the enclosure so that the length is less than 5.3 metres. 1. Solve a Rational Equation The effluent from a gold mine is being filtered to reduce the particulate concentration of a toxic heavy metal to a safe level. The function, C(x), represents the pollutant concentration in ppm as a function of the number of filters that the effluent must pass through, x. C(x) 2x x-5 = x+3 x+2 a) Determine the concentration of pollutants, as a decimal, if no filters are placed in the effluent stream. b) Algebraically determine the number of filters required to reduce the concentration to 1.25 ppm. To do this, set C to - and solve the resulting equation for x. There will be two answers but only one answer is valid in the practical domain of the problem. Show all your algebra steps! Check your answer by graphing the function and graphing the line y = 1.25 using DESMOS. The point of intersection should be your solution.