Aresearcher approximated the number of marigold plants in a region of desert that is roughly square shaped with a side length of 140 miles. as part of the process, she counted the number of marigold plants in a small part of the region and determined that the density of the marigold plant was about 279 plants per square mile. she assumed the density of marigold plants was the same throughout the region. which expression would the researcher have most likely used when making her approximation for the number of marigold plants in the square shaped region? (3×102)(2×104) (3×102)(2×105) 2×1043×102 2×1042×102

Solution:

Side of Square shaped region in which marigold plants are Planted = 140 miles

Area of The Square shaped region in which marigold plants are Planted

    =Side × Side

 =140 × 140

=19,600 square miles

Density of marigold plant =279 plants per square mile.

→→Total number of plants in the region = 19,600 × 279

                       =54,68,400

Now coming to Options,to find which expression product gives 5468400.

Option 1: ⇒ (3×102)×(2×104)=306 × 208=63648

Option 2: ⇒(3×102)×(2×105)=306 × 210=64260

Option 3: ⇒2×1043×102=212,772

Option 4: ⇒2×1042×102=212,568

→→None of the option gives , number of trees in the square region which is equal to 5468400.

None of the expression given , the researcher have most likely used when making her approximation for the number of marigold plants in the square shaped region.