Mathematics
Mathematics, 29.06.2019 14:00, nina7163

Would be appreciated : ) mrs. solar is remodeling a house and is looking for a contractor to do the work. she is getting quotes from three different contractors and will hire one of them based on the total cost. each company uses a formula to calculate its fees based on the number of hours the work will take. 1. mrs. solar modeled contractor 1's fee formula with the equation y = 50x + 200. (a) graph equation y = 50x + 200. give each axis a label and give the graph a title. (b) describe what equation y = 50x + 200 means in the real-world context. (c) give three ordered pairs that make the equation true and explain what each ordered pair means in the real-world context. 2. mrs. solar modeled contractor 2's fees with the formula y = 150 + 55x . mrs. solar compared contractor 2's fee to contractor 1's fee. (a) what does the difference between 50 and 55 mean in the real-world context? (b) what does the difference between 200 and 150 mean in the real-world context?  3. contractor 3 gives mrs. solar the following fee table showing her charges for the contract work. number of hours total cost 2 $120 3 $180 4 $240 5 $300 (a) what is the rate of change? what does this mean in a real-world context? (b) write an equation in point-slope form to represent the total cost, y, given x hours. (c) graph the equation written in part (b). (d) what is the y-intercept? what does this mean in a real-world context? 4. finally, mrs. solar receives the time estimates from each contractor. she wants to have the work done within 5 wk (200 work-hours) of when the work is started, and the sooner the better. she also wants to get a good deal. (a) contractor 1's time estimate: 210 h what is contractor 1's total cost? (b) contractor 2's time estimate: 195 h what is contractor 2's total cost? (c) contractor 3's time estimate: 185 h what is contractor 3's total cost? (d) which contractor should mrs. solar choose? explain your reasoning.

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