Question

Lucia bought a table and some chairs at a furniture store.The equation that models this situation is y= 40x + 55, where y is the amountof money she spent and x is the number of chairs she bought.What does the -intercept mean in this situation?

Answer 1

the y -intercept means the price of the table(55)

Explanation

Step 1

a)let

x represent the numbers of chairs she bought

y represents the total money

so, we can set the equation to check the the y-intercept means

total money=cost of charis +cost of table

she pays only one time,and x times the cost of each chair

so

$\begin{gathered} total\text{ cost = cost of chairs+cost of table} \\ y=40x+55 \end{gathered}$

therefore

$\begin{gathered} total\text{ cost of the charis=40x} \\ cost\text{ of the table = 55} \end{gathered}$

the y intercept is the value for x=0, in this case, the cost of zero chairs and the table, so

the y -intercept means the price of the table ($55)

I hope this helps you