Answer:
First city: $5,500
Second city: $5,000
Step-by-step explanation:
Let's define x as the hotel price in the first city and y the hotel price in the second city. We can start with this equation:
y = x - 500 (The hotel before tax in the 2nd city was $500 lower than in the 1st.)
Then we can say
0.065x + 0.045y = 582.50 (the sum of the tax amounts were $582.50)
We place the value of y from the first equation in the second equation:
0.065x + 0.045 (x - 500) = 582.50
0.065x + 0.045x - 22.50 = 582.50 (simplifying and adding 22.5 on each side)...
0.11x = 605
x = 5,500
The cost of the first hotel was $5,500
Thus, the cost of the second hotel was $5,000 (x - 500)
The linear function that describes Juan's elevation during his descent is:
B. y = -1460x + 7500.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, each hour, the height decays by 1460, hence the slope is of m = -1460, then:
y = -1460x + b.
The y-intercept is found considering that when x = 1, y = 6040, hence:
b = 6040 + 1460 = 7500.
Which means that option B is correct.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
2700 square feet
Step-by-step explanation:
5+4=9x300=2700
Answer:
{-7,-6,-5,-4}
Step-by-step explanation:
Yes because you only need to look at the first decimal for problems like these and the first number you see a seven and a one and seven is greater than one