Question

Please help!!!!!!!!

Answer 1

Answer:

$y=1.25x+3.5$

Step-by-step explanation:

Given:

The relation between the number of tickets and total cost for purchasing them.

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

Now, let the relation be given by the following function:

$y=mx+b$, where, $m$ and $b$ are constants.

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

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

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

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

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

Subtract equation 1 from equation 2. This gives,

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

Now, plug in $m=1.25$ 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 function to represent the relationship between the tickets and total cost is given as:

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