A new hospital tracked the number of births during its first 6 months of operation, as shown in the table. A 2-column table with 6 rows. The first column is labeled month with entries 1, 2, 3, 4, 5, 6. The second column is labeled number of births with entries 137, 110, 93, 70, 65, 77. Find a quadratic function that models the data. Round numerical values to the nearest whole number. F(x) = x2 x Use the function to predict the number of births for month 8. There will be about births.

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MrRoyal MrRoyal · Answer 1 · 2022-03-28T12:41:24+02:00

The hospital uses the quadratic model to predict the number of births

The equation of the quadratic model is f(x) = 4 x^2 -43 x +178, and the number of births for month 8 is 90

To determine the quadratic model, the make use of a graphing calculator, that has the following calculation summary

A quadratic model is represented as:

[tex]y= ax^2 + bx + c[/tex]

So, we have:

[tex]y = 4.339 x^2 -43.461 x +178.3[/tex]

Approximate

[tex]y = 4 x^2 -43 x +178[/tex]

Rewrite as:

[tex]f(x) = 4 x^2 -43 x +178[/tex]

At the 8th month, we have x = 8.

So, the function becomes

[tex]f(8) = 4 * 8^2 -43 *8 +178[/tex]

[tex]f(8) = 90[/tex]

Hence, the number of births for month 8 is 90

Read more about quadratic models at:

https://brainly.com/question/1214333

bro68776877 bro68776877 · Answer 2 · 2022-05-20T16:26:03+02:00

Answer:

4

-43

178

90

Step-by-step explanation:

yep

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