# Help with Quadratics problem?

**Question description**

The light produced by high pressure sodium vapor street lamps for different energy uses is shown on the table.

a) Find a quadratic model for the light output with respect to energy use. Round to two decimal places.

b) From your model, estimate the light output in lumens of a 200-watt light bulb

c) how many watts would a streetlamp need to produce an output of 4900 lumens? (round to the nearest whole number)

Graph:

Energy Use:

(watts)

35

50

70

100

150

Light Output:

(Lumens)

2250

4000

5800

9500

16,000

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors