Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in dollars) in the past five weeks are {204, 344, 450, 482, 504}. To find the corresponding square footage of lawn mowed, construct a function that models the total area of lawn that Derek mows based on his earnings.

Based on Derek's earnings, the corresponding square footage of the lawns he mowed in the past five weeks is ...

(174, 314, 420, 452, 474)

(203.97, 343.97, 449.97, 481.97, 503.97)

(234, 374, 480, 512, 534)

(174,000, 314,000, 420,000, 452,000, 474,000)

Question

Mathematics

Emma Patrick

13 July, 03:19

Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in dollars) in the past five weeks are {204, 344, 450, 482, 504}. To find the corresponding square footage of lawn mowed, construct a function that models the total area of lawn that Derek mows based on his earnings.

Based on Derek's earnings, the corresponding square footage of the lawns he mowed in the past five weeks is ...

(174, 314, 420, 452, 474)

(203.97, 343.97, 449.97, 481.97, 503.97)

(234, 374, 480, 512, 534)

(174,000, 314,000, 420,000, 452,000, 474,000)

+5

Answers (1)

Know the Answer?

Abby Mclean · Answer 1

Let f (x) represents function that tells us Derek's earning depending on square feet of lawn mowed which is x.

First we construct function:

f (x) = x/1000 * 1 + 30

x/1000 is a number that tells us the number of mowed units. for x = 1000 square feet he earns 1 dollar that is why we have to divide x by 1000.

if he earned 204 first week that means that x =:

204 = x/1000 + 30

x/1000 = 174

x = 174 000

if we check for each week that he worked we will see that square footage of the lawns he mowed match forth (last) option.

Answer is D.