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kaleipotter537
Answered

Two functions are represented in different formats.

Function 1:

Let x = number of hours worked

Let y = total pay in dollars

y = 20x + 15


Function 2: A babysitting club charges a $25 flat rate and $10 for each hour.


Which statements are true?


Select each correct answer.


Function 1 has a greater rate of change than function 2.


Function 2 has a greater rate of change than function 1.


Function 1 has a greater y-intercept than function 2.


Function 2 has a greater y-intercept than function 1.

Verified Answer :

For any function y = mx+b , m is rate of change and , b is the y intercept

]Function 1 is

y = 20x + 15,

where rate of change = 20 and y intercept = 15

And for function 2 , we can write the function as y= 10x +25

rate of change = 10 and y intercept = 25

So the statements which are true are

Function 1 has a greater rate of change than function 2.

Function 2 has a greater y-intercept than function 1.

emily10101

Answer:

function 1 has a greater rate of change than function 2.

function 2 has a greater y-intercept than function 1.

Step-by-step explanation:

Function 1 is given by: y=20x+15

and Function 2 is given by:y=10x+25

as we know that the rate of change of an equation is the same as the slope of an equation and the slope of the general form of the equation of the type y=mx+c is given by 'm'.

for function 1 the slope is:20

and for function 2 the slope is:10

so the slope of function 1 is greater than the slope of the function 2.

Hence function 1 has greater rate of change than function 2.

also the y-intercept of a line is the value of y for which x=0.

for function 1 when x=0 y=15

and for function 2 when x=0 y=25.

Hence,  the y-intercept for the function 2 is greater than that of function 1

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