A biologist studied the populations of common guppies and Endler’s guppies over a 6-year period. The biologist modeled the populations, in tens of thousands, with the following polynomials where x is time, in years. common guppies: 3.1x2 + 6x + 0.3 Endler’s guppies: 4.2x2 – 5.2x + 1 What polynomial models the total number of common and Endler’s guppies? (1 point) Responses 7.3x2 + 0.8x + 0.7 7.3 x 2 + 0.8 x + 0.7 7.3x2 – 0.8x + 1.3 7.3 x 2 – 0.8 x + 1.3 7.3x2 + 0.8x + 1.3 7.3 x 2 + 0.8 x + 1.3 7.3x2 + 0.8x – 1.3
The polynomial that models the total number of common and Endler's guppies is given by adding the polynomials for each species:
Total guppies = (3.1x^2 + 6x + 0.3) + (4.2x^2 - 5.2x + 1)
Total guppies = 3.1x^2 + 6x + 0.3 + 4.2x^2 - 5.2x + 1
Total guppies = 7.3x^2 + 0.8x + 1.3
Therefore, the correct polynomial is:
7.3x^2 + 0.8x + 1.3