Concept:
First eliminate the t from x=3t and then put it in y=t² and then graph it. As, limit of t is not restricted so t ∈ R(all real numbers)
As it is difficult to make graph here so I have solved it by hand and add all detail regarding it.
Answer:
367.5
Step-by-step explanation:
5% of 350 is 17.5
$350+$17.5=367.5
Complete Question
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.
Write and solve an equation to find the weights of the cat and the dog.
Answer:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
Step-by-step explanation:
Let's represent:
Weight of cat = x
Weight of Dog = y
A dog weighs 2 pounds less than 3 times the weight of a cat.
y = 3x - 2........ Equation 1
The dog weighs twenty two more pounds than the cat
y = x + 22....... Equation 2
The equation is given as:
y = y
3x - 2 = x + 22
Collect like terms
3x - x = 22 + 2
2x = 24
x = 24/2
x = 12 pounds
Solving for y using any of the equations:
y = 3x - 2
y = 3 × 12 - 2
y = 36 - 2
y = 34 pounds
Therefore:
Weight of cat = x = 12 pounds
Weight of Dog = y = 34 pounds
Answer:
Input
Independent variable
Step-by-step explanation:
we know that
<u>Independent variables</u>, are the values that can be changed or controlled in a given model or equation
<u>Dependent variables</u>, are the values that result from the independent variables
we have the function
In this problem
This is a proportional relationship between the variables d and t
The function d(t) represent the dependent variable or the output
The variable t represent the independent variable or input
