Heather buys 12 patio chairs for $366. Each chair costs the same amount. Part A Which equation represents the best estimate for
1 answer:
Answer:
= $30.5
Step-by-step explanation:
It is given that,
The cost of 12 patio chairs is $366.
We need to find the equation that represents the cost of each chair.
As each chair costs the same amount. It means we can find the cost of each chair by dividing total cost of 12 chairs divided by 12 i.e.
So, it is the required equation. If we solve it, we get $30.5. Hence, the cost of each chair is $30.5
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Answer:
Step-by-step explanation:
The standard form for an exponential equation is
We have 2 unknowns, a and b, but that's all good because we have 2 (x, y) coordinates we can utilize in order to find a and b. In our coordinate pair, x is the number of years gone by and y is the value after that number of years. The problem tells us that an item was purchased for $500. That translates to "before any time has gone by, the initial value of the item is $500". In other words, with x being time, no time has gone by, so x = 0. When x = 0, y = 500. (0, 500). Do the same for the next set of numbers. When x = 2 years gone by, the value is $551.25, so the coordinate is (2, 551.25). Now we use them to find a. Use the first coordinate:
Anything raised to the 0 power = 1, therefore:
and a = 500.
Now onto the next coordinate point using the a value we just found:
Divide both sides by 500 to get
so b = 1.05.
Now we have the values for a and b, so we fill in: