Answer:
The unit rate is accurately 
(km/minute)
Step-by-step explanation:
(1,1/4) means that the vehicle traveled 1/4 km within 1 minute.
The unit rate for this problem is also known as the speed of the vehicle.
So to find the speed, you need to use distance over time.
---> Unit rate: 
/ 1 = (km/minute)
(2,1/2) means that the vehicle traveled 1/2 km within 2 minutes.
Same process:
---> Unit rate: 
/ 2 =
Because of this, the unit rate is accurately (km/minute)
Answer:
The y-intercept is 
The y-intercept represents the initial quantity of gas in the canister which is zero.
Step-by-step explanation:
The y-intercept is where the graph of the straight line touches the y-axis.
From the graph, the y-intercept is the origin (0,0).
Recall that the slope intercept form of a straight line is 
, where is the y-intercept in this case.
Since the graph represents the amount of gasoline in a canister after Joshua begins to fill it at the gas station pump, the y-intercept means the initial gallons of gas in the canister is zero.
I think its.......5/15=1/3
Answer:
Exponential decay.
Step-by-step explanation:
You can use a graphing utility to check this pretty quickly, but you can also look at the equation and get the answer. Since the function has a variable in the exponent, it definitely won't be a linear equation. Quadratic equations are ones of the form ax^2 + bx + c, and your function doesn't look like that, so already you've ruled out two answers.
From the start, since we have a variable in the exponent, we can recognize that it's exponential. Figuring out growth or decay is a little more complicated. Having a negative sign out front can flip the graph; having a negative sign in the exponent flips the graph, too. In your case, you have no negatives; just 2(1/2)^x. What you need to note here, and you could use a few test points to check, is that as x gets bigger, (1/2) will get smaller and smaller. Think about it. When x = 0, 2(1/2)^0 simplifies to just 2. When x = 1, 2(1/2)^1 simplifies to 1. Already, we can tell that this graph is declining, but if you want to make sure, try a really big value for x, like 100. 2(1/2)^100 is a value very very very veeery close to 0. Therefore, you can tell that as the exponent gets larger, the value of the function goes down and gets closer and closer to zero. This means that it can't be exponential growth. In the case of exponential growth, as the exponent gets bigger, your output should increase, too.
From the given problem statement alone, we can say that
the equation relating the area of the lawn mowed and the earnings has a linear
relationship. That is because there is a constant increase in the earnings per
area which is $1 per 1000 square feet.
Therefore the equation must be in the form of:
y = m x + b
where,
y = is the total earnings
m = is the fee per area = 1 / 1000
x = is the area of the lawn
b = is the fixed fee = 30
Therefore the equation becomes:
y = 0.001 x + 30
Rewriting this in terms for x since we are to find the
area:
x = (y – 30) 1000
when y = 204
x = (204 – 30) 1000 = 174,000 square feet
when y = 344
x = (344 – 30) 1000 = 314,000 square feet
when y = 450
x = (450 – 30) 1000 = 420,000 square feet
when y = 482
x = (482 – 30) 1000 = 452,000 square feet
when y = 504
x = (504 – 30) 1000 = 474,000 square feet
