Answer:
The constant of proportionality is the ratio between numbers that expresses the rate at which the numbers increase or decrease. These two numbers are directly proportional when they increase and decrease at the same rate.
We let x and y be the number of Hobbies & Recreation and Soliloquies episodes that Steve subscribe. The system of linear equation that best represent the given above is,
x + y = 10
32x + 42y = 340
The values of x and y from the system are 8 and 2, respectively. Thus Steve subscribed to 8 Hobbies & Recreation and to 2 Soliloquies episodes.
Answer:
y = 7/8x + 7
Step-by-step explanation:
7x- 8y = -56
-7x -7x
-8y = -7x - 56
y = 7/8x + 7
Answer:
21 weeks
Step-by-step explanation:
In this question, we are to use proportionality to find the solution to the question.
We were made to know that the time taken to build the highway is varied directly with the length and inversely with the number of workers.
Let us make a mathematical representation for this.
Let the time be t, number of workers be w and length be l
t is directly proportional to l and inversely proportional to w
Mathematically;
t = kl/w
Where k is the constant of proportionality.
Let’s find the value of k
150 workers built 12 miles of highway in 14 weeks ; plug these in the equation to get k
14 = k * 12/150
k = 150 * 14/12 = 175
Now we want to get t given w and l
from ;
t = kl/w
We can get t; where l = 15 and w = 125
t = 175 * 15/125
t = 21 weeks
Answer:
Yes
Step-by-step explanation:
Because it passes vertical line test.
