Muchos países han organizado su servicio de taxi con un aparato llamado taxímetro, el cual calcula el monto que se debe pagar por el servicio de taxi según los kilómetros recorridos. Existen empresas que, adicionalmente a lo que marca el taxímetro, incrementan un monto fijo llamado tarifa mínima. La empresa Taxi amigos tiene una tarifa mínima de S/ 3 y una tarifa de S/ 0,90 por cada kilómetro recorrido. La empresa Taxi Rey cobra S/ 1,50 por cada kilómetro que recorre el taxi.

Si se toma un taxi y el recorrido es de 10 km, ¿Cuál de las dos empresas es conveniente usar?

d. you cannot tell because there are no values shown.

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.