Answer:
x > 4
Step-by-step explanation:
First I made an equation to find the cost for each Allen and Taylor.
Allen : 15 + 8.50x
Taylor = 9.25x + 12
Now that we know the equations we can set up an inequality.
9.25x+12>8.5x+15
Now you can solve!
Step 1: Subtract 8.5x from both sides.
9.25x+12−8.5x>8.5x+15−8.5x
0.75x+12>15
Step 2: Subtract 12 from both sides.
0.75x+12−12>15−12
0.75x>3
Step 3: Divide both sides by 0.75.
[tex]\frac{0.75x}{75} > \frac{3}{0.75}[/tex]
x > 4
Algebraic equations are equations with unknown variables. These unknown variables can be represented using the alphabet.
All values of x for which Taylor's total charge is greater than Allan's total charge is given as x > 4
Let's represent the number of hours Allan and Taylor spent cutting grass as : h
From the question, we are told that
Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn.
The algebraic equation for Allan is given as :
$15 + $8.50 × x
15 + 8.5x ...............Equation 1
Taylor charges a fee of $12 for his equipment and $9.25 per hour spent cutting a lawn.
The algebraic equation for Taylor is given as :
$12 + $9.25 × x
12 + 9.25x ...............Equation 1
To find all values of x for which Taylor's total charge is greater than Allan's total charge we would equate both equations to each other using the inequality sign ">"
Equation 2 > Equation 1
12 + 9.25x > 15 + 8.5x
Collect like terms
9.25x - 8.5x > 15 - 12
0.75x > 3
Divide both sides by 0.75
0.75x / 0.75 > 3/ 0.75
x > 4
Therefore, all values of x for which Taylor's total charge is greater than Allan's total charge is given as x > 4
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https://brainly.com/question/2754917
