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Marisa earns $7.50 an hour working at Panera. She wants to earn at least $250 to purchase 4 concert tickets. The cost of each ticket is $75 plus a $12.95 convenience fee per ticket. Is $250 enough to cover the cost of 4 tickets? If not, how many more hours does she need to work to cover the difference? No, she would need to work an additional 14 hours to purchase 4 concert tickets. No, she would need to work an additional 34 hours to purchase 4 concert tickets. No, she would need to work an additional 47 hours to purchase 4 concert tickets. Yes, $250 is enough to purchase 4 concert tickets.

Respuesta :

calculista

Answer:

Part 1) [tex]\$250[/tex] is not enough to cover the cost of 4 tickets

Part 2) She would need to work an additional 14 hours to purchase 4 concert tickets

therefore

No, she would need to work an additional 14 hours to purchase 4 concert tickets

Step-by-step explanation:

step 1

Find the cost of 4 tickets

[tex]4*(75+12.95)=\$351.80[/tex]

so

[tex]\$351.80> \$250[/tex]

therefore

[tex]\$250[/tex] is not enough to cover the cost of 4 tickets

step 2

Find the number of hours needed to work to cover the difference

The difference is equal to

[tex]\$351.80-\$250=\$101.80[/tex]

Let

x-----> the number of hours needed to work to cover the difference

The inequality that represent the situation is

[tex]7.50x \geq 101.50[/tex]

[tex]x \geq 101.50/7.50[/tex]

[tex]x \geq 13.5\ hours[/tex]

The minimum number of hours is 14