Tony ran laps around a track to raise money for a hospital. tony raised $15 plus $1.50 per lap that he ran. he raised a total of $255.00. let x represent the number of laps tony ran. what expression completes the equation to determine the total number of laps tony ran? how many laps did tony run?

Answer

Find out the how many laps did Tony run .

To prove

As given

Tony ran laps around a track to raise money for a hospital.

Tony raised $15 plus $1.50 per lap that he ran.

He raised a total of $255.00

Let x represent the number of laps Tony ran

Than the equation becomes in the form

15 + 1.50 × x = 255.00

on simplify

15 + 1.50x = 255

1.50x = 255 -15

1.50x = 240

x = 160

Therefore the number of laps Tony runs be 160 .

Hence proved

step-by-step explanation:

let's add {f(x)=x+1}f(x)=x+1 and {g(x)=2x}g(x)=2x together to make a new function.

f(x)+g(x) =(x+1)+(2x)=x+1+2x=3x+1

let's call this new function hh. so we have:

{h(x)}={f(x)}+{g(x)}{=3x+1}h(x)=f(x)+g(x)=3x+1

we can also evaluate combined functions for particular inputs. let's evaluate function hh above for x=2x=2. below are two ways of doing this.

method 1: substitute x=2x=2 into the combined function hh.

h(x)

h(2)

​    

=3x+1

=3(2)+1

=7

​ since h(x)=f(x)+g(x)h(x)=f(x)+g(x), we can also find h(2)h(2) by finding f(2) +g(2)f(2)+g(2).

first, let's find f(2)f(2):

f(x)

f(2)

​    

=x+1

=2+1

=3

​  

now, let's find g(2)g(2):

g(x)

g(2)

​    

=2x

=2⋅2

=4

​  

so f(2)+g(2)=3+4=\greend7f(2)+g(2)=3+4=7.

notice that substituting x =2x=2 directly into function hh and finding f(2) + g(2)f(2)+g(2) gave us the same answer!