The data in the table below represents the perce diagnosis of advanced-stage breast cancer at 6-month intervals of time Percentage Time after Diagnosis Surviving (years) 0,5 94.7 1 83.7 1.5 74.0 2 58.5 2.5 46.8 41.9 32.3 www 3 3.5 y-0-0 (Type integers or decimals rounded to four decimal places as neede

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter2: Linear Equations
Section2.2: Solving One-step Equations
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### Homework: Homework 7

#### Problem Description:

The data in the table below represents the percentage of patients who have survived after diagnosis of advanced-stage breast cancer at 6-month intervals of time.

| Time after Diagnosis (years) | Percentage Surviving |
|------------------------------|----------------------|
| 0.5                          | 94.7                 |
| 1                            | 83.7                 |
| 1.5                          | 74.0                 |
| 2                            | 58.5                 |
| 2.5                          | 46.8                 |
| 3                            | 41.9                 |
| 3.5                          | 32.3                 |

#### Task:

(a) Using a graphing utility, build an exponential model from the data.

\[ y = \]

(Type integers or decimals rounded to four decimal places as needed.)

---

This educational task involves using the given data to build an exponential model that represents the relationship between the time after diagnosis and the percentage of surviving patients. The table provided lists survival percentages at six-month intervals over a span of 3.5 years. The goal is to create an exponential function \( y \) to model this data using a graphing utility. The function's parameters should be rounded to four decimal places.
Transcribed Image Text:### Homework: Homework 7 #### Problem Description: The data in the table below represents the percentage of patients who have survived after diagnosis of advanced-stage breast cancer at 6-month intervals of time. | Time after Diagnosis (years) | Percentage Surviving | |------------------------------|----------------------| | 0.5 | 94.7 | | 1 | 83.7 | | 1.5 | 74.0 | | 2 | 58.5 | | 2.5 | 46.8 | | 3 | 41.9 | | 3.5 | 32.3 | #### Task: (a) Using a graphing utility, build an exponential model from the data. \[ y = \] (Type integers or decimals rounded to four decimal places as needed.) --- This educational task involves using the given data to build an exponential model that represents the relationship between the time after diagnosis and the percentage of surviving patients. The table provided lists survival percentages at six-month intervals over a span of 3.5 years. The goal is to create an exponential function \( y \) to model this data using a graphing utility. The function's parameters should be rounded to four decimal places.
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