Jaxon is deciding between two landscaping companies for his place of business. Company A charges $45 per hour and a $150 equipment fee. Company B charges $35 per hour and a $200 equipment fee. Let AA represent the amount Company A would charge for tt hours of landscaping, and let BB represent the amount Company B would charge for tt hours of landscaping. Write an equation for each situation, in terms of t, t, and determine the interval of hours, t, t, for which Company A is cheaper than Company B.

When the number of hours t is less than 5 hours, Company A is cheaper than Company B

Step-by-step explanation:

Let the number of hours be represented by t

For Company A

Company A charges $45 per hour and a $150 equipment fee.

150 + 45t

For Company B

Company B charges $35 per hour and a $200 equipment fee.

200 + 35t

Write an equation for each situation, in terms of t,t, and determine

The interval of hours,t, for which Company A is cheaper than Company B is given as:

Company A < Company B

Hence:

150 + 45t < 200 + 35t

Collecting like terms

45t - 35t < 200 - 150

10t < 50

t< 50/10

t < 5

When the number of hours t is less than 5 hours, Company A is cheaper than Company B

This is the correct answer on Delta Math

Step-by-step explanation:

the solution is 12x-6y

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.