Person weighing 140 pounds, should consume 1490 daily calories and that a 200 pound person should eat 1700 calories. , then we using the point-slope form of the equation of a line we would find that the relationship could be written y=(7/2)x + 1000? .

Please, show step by step for the solution

1 Answer
Apr 16, 2018

See below.

Explanation:

We can form two equation of the form #y=mx+b# from the information.

Let #x=# the weight of the person, and #y=# the number of daily calories:

So we can write for the first person:

#1490=140m+b \ \ \ \ \ \ \[1]#

Second person:

#1700=200m+b \ \ \ \ \ \ \ \[2]#

Where solve these simultaneously to find #bbm and bb(b)#:

By substitution:

#[1]#

#1490=140m+b#

Subtract #140m# from both sides:

#1490-140m=b#

#b=1490-140m#

Substitute this in #[2]#

#1700=200m+1490-140m#

Subtract 1490 from both sides:

#1700-1490=200m-140m#

#210=200m-140m#

Simplify:

#210=60m#

#m=210/60=21/6=7/2#

Substitute this value for #m# in #[1]#

#1490=140m+b#

#1490=140(7/2)+b#

Multiply by 2:

#2980=140*7+2b#

#2980=980+2b#

Subtract 980 from both sides:

#2000=2b#

Divide by 2:

#b=2000/2=1000#

So our equation is:

#y=mx+b#

#y=7/2x+1000#