Question

Please help!!!!!!!! this is worth 60 points!!!!!!

Answer 1

Answer:

$y=1.25x+3.5$

Step-by-step explanation:

Let $y$ represent number of tickets and $x$ represent the total cost to purchase them.

Now,assuming the relation to be of the form:

$y=ax+b$, where, $a$ and $b$ are constants.

Let us find $a$ and $b$ using the values from the table.

For, $x=7,y=12.25$. So,

$12.25=7a+b\\or\ 7a+b=12.25------------1$

For, $x=10,y=16$. So,

$16=10a+b\\or\ 10a+b=16------------2$

Subtract equation 1 from equation 2. This gives,

$10a+b-7a-b=16-12.25\\(10a-7a)+(b-b)=3.75\\3a=3.75\\a=\frac{3.75}{3}=1.25$

Now, plug in $a=1.25$ in equation 1 and solve for $b$

$7(1.25)+b=12.25\\8.75+b=12.25\\b=12.25-8.75=3.5$

Therefore, the relation between the number of tickets and total cost of purchase is given as:

$y=ax+b\\y=1.25x+3.5$