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Bingel [31]
3 years ago
11

Gregg rents a car for a business trip. A car rental company charges $100 for the first 50 miles and $5 for every additional 10 m

iles. If the total charge is $200, then how far did Gregg travel in the rental car? 20 miles 250 miles 200 miles 50 miles
Mathematics
2 answers:
tekilochka [14]3 years ago
6 0
Write a linear equation representing this situation.  Let C be the total charge for the car rental.  Then C = $100 + ($5/10 miles)x, where x represents the total number of miles driven.

C = $200 = $100 + ($0.50/mile)x

Simplifying, $100 = ($0.50/mile)x

Divide both sides by ($0.50/mile):  [$100] / [$0.50/mile] = x

Solving for x:  x = 200 miles
Alex777 [14]3 years ago
3 0
Its 250 miles cuz 20 x 5 =100 and 20x10 is 200 so 200+50 =250

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Step-by-step explanation:

By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.

Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.

By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.

Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625

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Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder

Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625

L^2=13.140625–0.90625+4.0615=15.390625

L= (15.390625)^1/2= 3.92 meters length of ladder

<em>hope it helps...</em>

<em>correct me if I'm wrong...</em>

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Step-by-step explanation:

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