Answered

A florist charges $25 for a vase plus $4.50 for each flower. The total charge for the vase and flowers is given by the function f(x) = 4.50x + 25. How will the graph change if the vase’s cost is raised to $35? if the charge per flower is lowered to $3.00?

Answer :

Part 1
All that’s being affected here is the b value in y=mx+b, so your line will just move up to have a y-intercept at (0,35) the equation will be y=4.5x+35

Part 2
Here the m value is being changed so your line will just flatten out a bit and the new equation will be y=3x+25

Hope this helps!

a) The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

b)The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

We have given that the function

[tex]f(x) = 4.50x + 25[/tex]

A florist charges $25

Now we have given condition the cost is raised to 35$

We use we use the slope intercept form

What is the slope intercept form?

[tex]y=mx+C[/tex]

y is function f(x) C=vase cost, and m= charge per flower

Therefore we get,

[tex]y=f(x),m=4.50 and c=25[/tex]

we have given condition C=35$

So  the  line will just move up to have a y-intercept at (0,35) the equation will be,

[tex]y=4.5x+35[/tex]

Therefore,

The graph change if the vase’s cost is raised to $35  is the line

[tex]y=4.5x+35[/tex]

We have given that the charge per flower is lowered to 3$

So the slope

[tex]m=3[/tex]

Here the m value is being changed so your line will just flatten out a bit and the new equation will be

[tex]y=3x+25[/tex]

The charge per flower is lowered to $3.00 is the line

[tex]y=3x+25[/tex]

To learn more about the slope intercept form visit:

https://brainly.com/question/1884491

Other Questions