Answer:
1. 1:4
2. y = 4 x X
3. yes
Step-by-step explanation:
1. every 1 minuet he cleans 4 shrimp
2. y is the number of shrimp and x is the time. if every miuet he cleans 4 shrimp, then that means you have to multiply the shrimp by the minuets. for example, if he spends 2 minuets, he cleans 8 shrimp because 2 x 4 = 8.
3. This is a proportional relationship because if you were to put this on a graph, it would be a strait line. for example, if you were to plot x (the time) on a line (this line would go horizontal) and y (shrimp) on the line (this line goes verticle) 1 minuet = 4 shrimp. 2 minuets = 8 shrimp. 3 minuets = 12 shrimp. 4 minuets = 16 shrimp.
i hope this helps. tell me if this is too confusing or if you need more help. have a great day :)
Answer:
Before adding, we need to make sure the denominators are the same. We can do so by multiplying the fraction by a common multiple. In this case, 3 is a multiple of 6, so we can change 1/2 to 3/6. 3/6 is still equal to 1/2, so nothing changes.
Now we have 3/6+1/6, which is 4/6 (add the numerator).
4/6 can be simplified to 2/3 and 2 is a multiple of 4 and 6.
So, therefore, the answer is 2/3.
Answer:
f(x) = 26500 * (0.925)^x
It will take 7 years
Step-by-step explanation:
A car with an initial cost of $26,500 depreciates at a rate of 7.5% per year. Write the function that models this situation. Then use your formula to determine when the value of the car will be $15,000 to the nearest year.
To find the formula we will use this formula: f(x) = a * b^x. A is our initial value which in this case is $26500. B is how much the value is increasing or decreasing. In this case it is decreasing by 7.5% per year. Since the car value is decreasing we will subtract 0.075 from 1. This will result in the formula being f(x) = 26500 * (0.925)^x. Now to find the value of the car to the nearest year of when the car will be 15000 we plug 15000 into f(x). 15000 = 26500 * (0.925)^x. First we divide both side by 26500 which will make the equation: 0.56603773584=(0.925)^x. Then we will root 0.56603773584 by 0.925. This will result in x being 7.29968 which is approximately 7 years.