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Here is an image showing the highest point of the path of a ball after one bounce.
Someone is collecting data to model the bounce height of this ball after each bounce. Which measurement for the location of the top of the ball would be the best one to record?
26 cm
26.4 cm
26.43 cm
26.431 cm
Function \(h\) describes the height of a ball, in inches, after \(n\) bounces and is defined by the equation \(h(n) = 120 \boldcdot (\frac45)^n\).
After its second bounce, a ball reached a height of 80 cm. The rebound factor for the ball was 0.7. From approximately what height, in cm, was the ball dropped?
34
49
115
163
Which equation is most appropriate for modeling this data?
| \(x\) | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| \(y\) | 79 | 101 | 124 | 158 | 195 | 244 |
\(y=64 \boldcdot (1.25)^x\)
\(y=79 \boldcdot (1.25)^x\)
\(y=79 + 1.25x\)
\(y=64 + 22x\)
The table shows the number of employees and number of active customer accounts for some different marketing companies.
| number of employees | 1 | 2 | 3 | 4 | 10 |
|---|---|---|---|---|---|
| number of customers | 4 | 8 | 13 | 17 | 39 |
Would a linear or exponential model for the relationship between number of employees and number of customers be more appropriate? Explain how you know.
A bank account has a balance of 1,000 dollars. It grows by a factor of \(1.04\) each year.
The table shows the number of people, \(n\), who went to see a musical on the \(d^{\rm th}\) day of April.
| \(d\) | \(n\) |
|---|---|
| 1 | 1,534 |
| 2 | 2,324 |
| 3 | 2,418 |
| 4 | 2,281 |
| 5 | 2,350 |
| 6 | 2,394 |
| 7 | 1,720 |
This graph shows the cost in dollars of mailing a letter from the United States to Canada in 2018 as a function of weight in ounces.
Is triangle \(AFE\) congruent to triangle \(ADE\)?
Explain your reasoning.
\(\overline{AF} \cong \overline{AD}, \angle F \cong \angle D\)