A truck can be rented from Company A for $130 a day plus $0.60 per mile. Company B charges $70 a day plus $0.90 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.

200 miles

Step-by-step explanation:

Let's say that our variable is x, where x equals the amount of miles

Company A: a(x)=0.6x+130

Company B: b(x)=0.9x+70

For the first equation, you are charged 130 dollars, in addition to the 0.60 cents that you are charged per mile.

For the second equation, you are charged 70 dollars, in addition to the 0.90 cents that you are charged per mile.

You want to find how many miles it takes to make the two equations equal:

0.6x+130 = 0.9x+70 (Set them equal to each other because you are trying to find when the miles are equal and the cost is equal)

130=0.3x+70 (Subtract 0.6x from both sides)

60=0.3x (Subtract 70 from both sides)

x=200 (Divide both sides by 0.3 to find x)

Remember that x is the amount of miles, so, Company A and B would charge the same if you drove 200 miles.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,