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Mamont248 [21]
4 years ago
9

Here's an easy question. Gina bought 2.5 pounds of peaches that cost $1.38 per pound at the grocery store. Amy went to the local

farmer’s market and purchased 3.5 pounds of peaches at $0.98 per pound. Who spent more money, and how much more?
A. Gina, $0.20

B. Gina, $0.02


C. Amy, $0.20


D.Amy, $0.02
Mathematics
2 answers:
frez [133]4 years ago
6 0

Answer:

B, Gina, $0.02

Step-by-step explanation:

Per pound is $1.38, so split it in half to get $0.69 for half a pound.

Then you have 1.38 + 1.38 + 0.68 = $3.45 total for Gina.

Per pound is $0.98, if you split that in half you get $0.49 for half a pound.

Add it up, 0.98 + 0.98 + 0.98 + 0.49 = $3.43.

You can see Gina spent more, and then you subtract 3.43 from 3.45 and get $0.02.

kakasveta [241]4 years ago
4 0
Is Gina the right answer
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Complete the following table for residuals for the exponential function: f(x) = 49.3(1.47)
agasfer [191]

Answer:

Predicted values:

\hat y_1 = 49.3 (1.47)^1 =72.471

\hat y_2 = 49.3 (1.47)^2 =106.5324

\hat y_3 = 49.3 (1.47)^3 =156.6026

\hat y_4 = 49.3 (1.47)^4 =230.2058

\hat y_5 = 49.3 (1.47)^5 =338.4025

\hat y_6 = 49.3 (1.47)^6 =497.4517

\hat y_7 = 49.3 (1.47)^7 =731.254

\hat y_8 = 49.3 (1.47)^8 =1074.943

Residuals:

e_1 = 65-72.471=-7.471

e_2 = 90-106.5324=-16.5324

e_3 = 162-156.6026 = 5.3974

e_4 = 224-230.2058 = -6.2058

e_5 = 337-338.4025 = -1.4025

e_6 = 466-497.4617 = -31.4517

e_7 = 780-731.254 = 48.7459

e_8 = 1087-1074.493 = 12.0566

Step-by-step explanation:

For this case we assume the following exponential function:

\hat y_i = 49.3 (1.47)^x

Where x represent the hours and y the predicted values for each hour. We can find the estimated values like this:

\hat y_1 = 49.3 (1.47)^1 =72.471

\hat y_2 = 49.3 (1.47)^2 =106.5324

\hat y_3 = 49.3 (1.47)^3 =156.6026

\hat y_4 = 49.3 (1.47)^4 =230.2058

\hat y_5 = 49.3 (1.47)^5 =338.4025

\hat y_6 = 49.3 (1.47)^6 =497.4517

\hat y_7 = 49.3 (1.47)^7 =731.254

\hat y_8 = 49.3 (1.47)^8 =1074.943

Now we can find the residuals with this formula:

e_i = Y_i -\hat y_i

And replacing we got:

e_1 = 65-72.471=-7.471

e_2 = 90-106.5324=-16.5324

e_3 = 162-156.6026 = 5.3974

e_4 = 224-230.2058 = -6.2058

e_5 = 337-338.4025 = -1.4025

e_6 = 466-497.4617 = -31.4517

e_7 = 780-731.254 = 48.7459

e_8 = 1087-1074.493 = 12.0566

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