## Related questions with answers

*The data can be described by the following mathematical models:*

$A=-0.9n +69$

$M= -0.3n +27.$

**a.** Use the appropriate line graph to determine the percentage of seniors who used marijuana in $2005$.

**b.** Use the appropriate formula to determine the percentage of seniors who used marijuana in $2005$. Does the formula underestimate or overestimate the actual percentage displayed by the graph? By how much?

**c.** Use the appropriate line graph to estimate the percentage of seniors who used alcohol in $2005$.

**d.** Use the appropriate formula to determine the percentage of seniors who used alcohol in $2005$. How does this compare with your estimate in part (c )?

**e.** For the period from $1980$ through $2009$, in which year was marijuana use by seniors at a minimum? Estimate the percentage of seniors who used marijuana in that year.

Solution

VerifiedThe goal of this task is to determine the following using the given information.
**a.** Percentage of seniors who used marijuana in $2005$ using the appropriate line graph.
**b.** Percentage of senior who used marijuana in $2005$ using the appropriate formula. Does the formula underestimate or overestimate the actual percentage displayed by the graph, and by how much.
**c.** Estimate the percentage of seniors who used alcohol in $2005$, using the appropriate line graph.
**d.** Estimate the percentage of seniors who used alcohol in $2005$ using the appropriate formula. How does this compare with the estimation in part **c**.
**e.** In which year was marijuana used by seniors at a minimum from the period $1980$ through $2009$, and estimate the percentage of seniors who used marijuana in that year.

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