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14. the school chorus is selling tickets to its concert. the cost of ea…

Question

  1. 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 |

Explanation:

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 $m=90$
$t=\frac{90}{5}=18$

Answer:

Tickets sold ($t$)Money collected ($m$)
210
525
1155
1890

The relationship is $m=5t$