QUESTION IMAGE
Question
- the school chorus is selling tickets to its concert. the cost of each ticket is the same. - let ( t ) represent the number of tickets sold. - let ( m ) represent the amount of money collected, in dollars. complete the table for the values of ( t ). | tickets sold ( t ) | 1 | 2 | 5 | 11 | 18 | |---|---|---|---|---|---| | money collected ($) ( m ) | 5 | 10 | 25 | 55 | 90 |
Step1: Find ticket unit price
From the first row: when $t=1$, $m=5$. So unit price = $\frac{5}{1}=5$ dollars per ticket. The relationship is $m=5t$.
Step2: Calculate missing $m$ for $t=5$
Substitute $t=5$ into $m=5t$
$m=5\times5=25$
Step3: Calculate missing $t$ for $m=90$
Rearrange $m=5t$ to $t=\frac{m}{5}$. Substitute $m=90$
$t=\frac{90}{5}=18$
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| Tickets sold ($t$) | Money collected ($m$) |
|---|---|
| 2 | 10 |
| 5 | 25 |
| 11 | 55 |
| 18 | 90 |
The relationship is $m=5t$