Question

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.

Answer 1

Answer:

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