Three relationships are described below: i. the amount of fuel used on a trip increases as the size of the car increases and as the distance traveled increases. ii. as the number of people mow a lawn increases, the time it takes to mow the lawn decreases. iii. the cost of having a house painted increases as the size of the house increases. what type of variation describes each relationship?

Variation are of 2 types: Direct variation that states 'if x increases, y increases'. And inverse variation which states ' if x increases, y decreases and y increases x increases'.

1. The amount of fuel used on a trip increases as the size of the car increases and as the distance traveled increases. = Direct variation

2. As the number of people helping mow a lawn increases, the time it takes to mow the lawn decreases = Inverse variation

3. The cost of having a house painted increases as the size of the house increases. = Direct variation

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

1gm = 1000mg so 0.1gm = 1000mg

first, convert the weight to kg

160lb * 1kg/2.2lb = 72.7kg

next, the dose

72.7kg * 100mg/kg = 7270mg