The cost to install a swimming pool as a function of its area can be modeled by the linear equation y = 35x + 15,000, where y is the cost and x is the area in square feet. The cost increases by $35 per extra square foot of area.
The first step in modelling this scenario is to identify the slope of the linear relationship between the pool's area and its cost. The slope can be determined using the formula:
m = (y2 - y1) / (x2 - x1)
Where:
Applying these numbers to the formula gives a slope (m) equal to $35 per square foot.
Next, we can determine the y-intercept (b) of the equation by substituting one of the points and the calculated m into the equation y = mx + b:
$50,000 = $35 * 1000 + b, solving for b gives b = $15,000.
Therefore, the linear equation that models this situation is y = 35x + 15,000. The graph of this equation is a straight line that starts at (0, 15,000) and increases with a slope of 35. Every increase in pool area of 1 square foot increases the cost by $35.
#SPJ12
Answer:
$35,000
Step-by-step explanation:
if $50,000 is to install an area of 1,000 square feet swimming pool and $35,000 can be used to install an 800 square foot swimming pool I think the best graph model is 800 square feet for $35,000 for a cost cut of $15,000 is a good bargain
Answer:
The answer is the first one.
Step-by-step explanation:
Okay, so the first one is solved like this:
You do 360*30%. 30% is 0.3 in decimal form. So 360*0.3=108. 108 is the amount that is discounted, NOT the price. You have to do 360-108, which is 252. The discounted price is $252.
Now the second one is solved like this:
You do 360*10% FIRST because the problem says it was marked 10% BEFORE the 20%. 10%=0.1, so 360*0.1=36. You subtract 360-36, which is 324. Then, you multiply 324 by 20% or 0.2, to get 64.8, which is the discount of 20%. You subtract 324-64.8, which is $259.20. So the first one is the answer because it is cheaper since 252 is less than 259.20. If you need this explanation, don't use this word for word. Summarize this in YOUR own words!
He should by the first washing machine because it cost less than the second washing machine.
17.5
35
70
60
Multiply by 2 to get that the measure of arc CB is 70.
Answer:
measure of arc CB is 70°
Step-by-step explanation:
Draw segment FC.
Measure of arc CB = ∠CFB
∠CFB is complementary to ∠CFA
∠CFB = 180° - ∠CFA
Δ CFA is isosceles
∠ FAC = ∠ FCA = 35°
∠CFA +∠ FAC + ∠ FCA = 180°
∠CFA = 180° - 70°
∠CFB = 180° - (180° - 70°) = 70°
∴ Measure of arc CB is 70°
Answer:
7/12 of an hour
Step-by-step explanation:
you add them, by finding the common denominator.
1/3=4/12
1/4=3/12
3/12+4/12=7/12
What is the perimeter of ABCD?
Answer:
12.5cm
Step-by-step explanation:
(5x2) + (1.25x2) =12.5
I multiplied by 2 because one side will be equal to another.
Answer:
The optimal strategy for Bob is buying for shine (unless he can watch a forecast to know the next day weather).
Step-by-step explanation:
This is a typical problem of hopes to win vs hopes to lose. Let's analyze each of the strategies Bob can adopt in both kinds of weather.
Bob buy for rain:
Bob will buy 500 umbrellas for a cost of $5 each. This is a total cost of $2500.
If it rain, Bob can sell all umbrellas for $10 each. This gives a maximum revenue of $5000. Therefore the maximum profit is $2500. Remember that:
Profit= Revenue - Cost
If it's a sunny day, Bob can only sell 100 umbrellas for $10 each. This gives a maximum revenue of $1000. Therefore the maximum profit is -$1500. That means that in this case, the minimum loss is $1500.
Bob buy for Shine:
Bob will buy 100 umbrellas for a cost of $5 each and 1000 sunglasses for a cost of $2 each. This is a total cost of $2500.
If it's a sunny day, Bob can only sell all umbrellas for $10 each and all sunglasses for $5. This gives a maximum revenue of $6000. Therefore the maximum profit is $3500.
If it rains, Bob can sell only sell all the 100 umbrellas for $10 each but none of the sunglasses. Therefore the maximum profit is $1000. Therefore the maximum profit is -$1500. That means that in this case, the minimum loss is $1500.
In both cases, the worst-case scenario is the same: a loss of $1500.
Nevertheless in the best case scenario buying to shine gives a bigger profit. Therefore if the risk is the same, is better to go for the strategy with better profits.