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) 5 90 10 60 15 40 20 32 (a) Find a log model for thesee data. (Round all numerical values to three decimal places.) L(x) ppm is the concentration of lead in the soil x meters from a heavily traveled road 5 S x S 20 (b) An apartment complex has a dirt play area located 12 meters from a road. Calculate the lead concentration in the soil of the play area. (Round your answer to the nearest integer.) L(12)52.109 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.) E(x) 135.079(0.922* ppm is the concentration of lead in the soil x meters from a heavily traveled road 5 S x S 20 Which of the two models better displays the end behavior suggested by the context? Othe log model Othe exponential model O cannot be determined

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 2TI: Sales of a video game released in the year 2000 took off at first, but then steadily slowed as time...
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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)
5
90
10
60
15
40
20
32
(a) Find a log model for thesee data. (Round all numerical values to three decimal places.)
L(x)
ppm is the concentration of lead in the soil x meters from a heavily traveled road
5 S x S 20
(b) An apartment complex has a dirt play area located 12 meters from a road. Calculate the lead concentration in the soil of the play area. (Round your answer to the nearest integer.)
L(12)52.109
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.)
E(x) 135.079(0.922*
ppm is the concentration of lead in the soil x meters from a heavily traveled road
5 S x S 20
Which of the two models better displays the end behavior suggested by the context?
Othe log model
Othe 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) 5 90 10 60 15 40 20 32 (a) Find a log model for thesee data. (Round all numerical values to three decimal places.) L(x) ppm is the concentration of lead in the soil x meters from a heavily traveled road 5 S x S 20 (b) An apartment complex has a dirt play area located 12 meters from a road. Calculate the lead concentration in the soil of the play area. (Round your answer to the nearest integer.) L(12)52.109 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.) E(x) 135.079(0.922* ppm is the concentration of lead in the soil x meters from a heavily traveled road 5 S x S 20 Which of the two models better displays the end behavior suggested by the context? Othe log model Othe exponential model O cannot be determined
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