Question

Please help for this question. Thank you​

Answer 1

A. 8.3

B.18.7

C. 10.4

D. 1.04

Explanation:

p(x) = 0.03x² + 0.56x + 6.35

A. Determination of p(3)

p(x) = 0.03x² + 0.56x + 6.35

x = 3

p(3) = 0.03(3)² + 0.56(3) + 6.35

p(3) = 0.03(9) + 1.68 + 6.35

p(3) = 0.27 + 1.68 + 6.35

p(3) = 8.3

B. Determination of p(13)

p(x) = 0.03x² + 0.56x + 6.35

x = 13

p(13) = 0.03(13)² + 0.56(13) + 6.35

p(13) = 0.03(169) + 7.28 + 6.35

p(13) = 5.07 + 7.28 + 6.35

p(13) = 18.7

C. Determination of p(13) – p(3)

From A and B above,

p(13) = 18.7

p(3) = 8.3

p(13) – p(3) = 18.7 – 8.3

p(13) – p(3) = 10.4

D. Determination of p(13) – p(3) / 13 – 3

From C above,

p(13) – p(3) = 10.4

p(13) – p(3) / 13 – 3 = 10.4/ 13 – 3

= 10.4 / 10

= 1.04