Question

Search Calibri (Body) 11 Å Å Aar to 三三 AL T inter B IU - ab x, X A-D-A Аавьссос Аавьссос Аавьс Аавьсаг АаВ Аавьсаг I Normal 1 No Spac... Heading 1 Heading 2 Title Subtitle Font Paragraph Styles 4. Jacob bought some tickets to see his favorite group, and it cost $76. The relationship between the adult tickets, a, and the student's tickets, s, can be expressed by the equation 10a + 8C = 76. If he bought 4 adult ticket, then how student's tickets did he buy? If he bought 2 student ticket, then how adult's tickets did he buy? Which equation shows the number of student tickets as a function of the number of adult tickets? A. C= 68 – 10a B.C=76 – 10a C. C= -4/5a +38/5 D. C=-5/4a+19/2 Darren works as a truck driver. This graph shows the distance he drove over time during a recent trip. 5

Answer 1

For the first question. Since Jacob bought 4 adult tickets, replace a = 4 in the given equation and solve for s, like this

`\begin{gathered} 10a+8c=76 \\ a=4 \\ \text{ Replacing} \\ 10(4)+8c=76 \\ 40+8c=76 \\ \text{ Solve for c} \\ \text{ Subtract 40 from both sides of the equation} \\ 40+8c-40=76-40 \\ 8c=36 \end{gathered}`