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# A family is going to a theme park having t members in the family. Each ticket costs $80, and the number of tickets needs to be bought can be calculated from the expression t2−4t−90=6 when t>0. What is the total cost of the theme park tickets that the family paid? A$640
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B
$800 No worries! We‘ve got your back. Try BYJU‘S free classes today! C$960
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D
$1,120 No worries! We‘ve got your back. Try BYJU‘S free classes today! Open in App Solution ## The correct option is D$960Let the number of family members that are going to the theme park is t.The number of tickets needs to be bought is calculated from the expression,⇒t2−4t−90=6⇒t2−4t−90−6=0⇒t2−4t−96=0⇒t2−12t+8t−96=0⇒t(t−12)+8(t−12)=0⇒(t−12)(t+8)=0∴t=12or−8Then number of family member is not be negative, so t=12Cost of one ticket =80$∴ cost of 12 ticket=80×12=960$  Suggest Corrections  0      Similar questions  Related Videos   Properties of Set Operation
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