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saucyboyFredo
04.08.2019 •
Mathematics
Rosita and garth are saving up for a vacation, and begin with a certain amount saved each. if rosita works 5 hours, she will have $128. if she works 7 hours, she will have $164. if garth works 3 hours, he will have $124. if he works 8 hours, he will have $194. they want to know when they will have saved the same amount of money and how much each will have saved.
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Ответ:
For Rosita, (5, 128), (7, 164): m = (y2 - y1)/(x2 - x1) = (164 - 128)/(7 - 5) = 18, implying that she earns $18/hr. The y-intercept is calculated as: y = 18x + b, 128 = 18*5 + b, b = $38, meaning that she started with $38. Rosita's equation is y = 18x + 38.
For Garth, (3, 124), (8, 194): m = (194 - 124)/(8 - 3) = 14. For 124 = 14*3 + b, b = $82. Garth's equation is y = 14x + 82
To find out when they will have saved the same amount, both equations would have the same y-value:
18x + 38 = 14x + 82
4x = 44
x = 11 hours
y = 18*11 + 38 = $236 (alternatively, y = 14*11 + 82 = 236)
This means that Rosita and Garth will have both saved $236 after 11 hours of working.
Ответ: