Because of past use of leaded gasoline, the concentration of lead in soil can be associated with how close the soil is to a heavily traveled road. The table shows average lead concentrations in parts per million of samples taken from different distances from roads.t Lead Concentration in Soil Near Roads Distance, x (meters) Lead, L (ppm) 90 10 60 15 40 20 32 (a) Find a log model for these data. (Round all numerical values to three decimal places.) 5 SxS 20 L(x) = ppm is the concentration of lead in the soil x meters from a heavily traveled road (b) An apartment complex has a dirt play area located 8 meters from a road. Calculate the lead concentration in the soil of the play area. (Round your answer to the nearest integer.) L(8) = ppm (c) Find an exponential model for the data. Compare this model to the log model found in part (a). (Round all numerical values to three decimal places.) 5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15DE
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Because of past use of leaded gasoline, the concentration of lead in soil can be associated with how close the soil is to a heavily traveled road. The table shows average lead
concentrations in parts per million of samples taken from different distances from roads.t
Lead Concentration in
Soil Near Roads
Distance, x
(meters)
Lead, L
(ppm)
90
10
60
15
40
20
32
(a) Find a log model for these data. (Round all numerical values to three decimal places.)
5 SxS 20
L(x) =
ppm is the concentration of lead in the soil x meters from a heavily traveled road
(b) An apartment complex has a dirt play area located 8 meters from a road. Calculate the lead concentration in the soil of the play area. (Round your answer to the nearest
integer.)
L(8) =
ppm
(c) Find an exponential model for the data. Compare this model to the log model found in part (a). (Round all numerical values to three decimal places.)
5 <x< 20
E(x) =
ppm is the concentration of lead in the soil x meters from a heavily traveled road
Which of the two models better displays the end behavior suggested by the context?
O the log model
O the exponential model
O cannot be determined
Transcribed Image Text:Because of past use of leaded gasoline, the concentration of lead in soil can be associated with how close the soil is to a heavily traveled road. The table shows average lead concentrations in parts per million of samples taken from different distances from roads.t Lead Concentration in Soil Near Roads Distance, x (meters) Lead, L (ppm) 90 10 60 15 40 20 32 (a) Find a log model for these data. (Round all numerical values to three decimal places.) 5 SxS 20 L(x) = ppm is the concentration of lead in the soil x meters from a heavily traveled road (b) An apartment complex has a dirt play area located 8 meters from a road. Calculate the lead concentration in the soil of the play area. (Round your answer to the nearest integer.) L(8) = ppm (c) Find an exponential model for the data. Compare this model to the log model found in part (a). (Round all numerical values to three decimal places.) 5 <x< 20 E(x) = ppm is the concentration of lead in the soil x meters from a heavily traveled road Which of the two models better displays the end behavior suggested by the context? O the log model O the exponential model O cannot be determined
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