On a two week job a repairman works a total of 70 hours he charges 75$ plus 40$ per hour. An equation shows this realationship where x is the number of hours and y is the total fee

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Complete Question

On a two week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows the relationship where x is the number of hours and y is the total fee. Write the equation. What is the slope and y-intercept?

a)Write the equation.

y = 40x + 75

b) What is the slope and y-intercept?

The slope = 40

y - Intercept = 75

Step-by-step explanation:

On a two week job a repairman works a total of 70 hours. He charges 75$ plus 40$ per hour.

The equation shows this realationship where x is the number of hours and y is the total fee is given using the equation of a straight line which is given as:

y = mx + c

Where m = Slope

c = y intercept

Applying this equation to our question , we have:

y= 40x + 75

The slope = m = 40

y-intercept = c = 75

75 y intercept.

Step-by-step explanation:

the answer is 99.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: