All categories

3 years ago

Example 4

Mathematics

1 answer:

Vesnalui [34]3 years ago

7 0

Answer: Part a: b represents the base fee charged for the "house call" job

m is the hourly rate.

x is the number of hours at the job.

y represents the total cost for the job.

Part b:. The y-intercept is 65

The equation follows y=mx+b

Y= 42x + 65

Part c:. $275

Step-by-step explanation:

The difference between the two total costs, (Camilla 191 - Connor 107)

= $84. That is the rise. The run is the difference in time, 2 hours. 84/2 = 42.

m= 42

42 from 107 to find b, the base fee, 65 This is the y-intercept.

The equation is y= 42x + 65

Quick check using Camilla's bill: 191 = (42)(3) + 65

191 = 126 + 65 True!

Part C:

To find the total cost of the plumber's 5 hour job,

Y = 42(5) + 65

Y= 210 + 65

Y= $275

You might be interested in

1. Graph the six terms of a finite series where a1 = 5 and r = 1.25.

rodikova [14]

For the answer to the question above, asking to graph the six terms of a finite series where a1 = 5 and r = 1.25.
I'll provide the answer with the solutions below.
a1 = 5
a2 = 5*r = 5*(5/4) = 25/4 
a3 = 5*r² = 5*(5/4)² = 125/16 
a4 = 5*r³ = 5*(5/4)³ = 625/256 
a5 = 5*r⁴ = 5*(5/4)⁴ = 3125/1024
I hope this helps

3 0

3 years ago

Read 2 more answers

A line passes through the points (-7, -2) and (2, 7). What is its equation in slope-intercept form?

aleksandrvk [35]

Answer:

y = x + 5

Step-by-step explanation:

The line passes through points (-7,-2) and (2,7)

Slope of the line = change in y ÷ change in x = $\frac{7 - -2}{2 - -7}$ = 1

Taking another point (x,y) on the line;

Slope = $\frac{y - 7}{x - 2}$ = 1

Cross multiplying this gives;

y - 7 = x - 2

y = x + 5

3 0

3 years ago

PLEASE HELP! WILL MARK BRAINLIEST!

AfilCa [17]

Number 3 is the correct answer

5 0

4 years ago

1.5 horas para realizar un afinamiento; 0,2 horas para limpiar la bateria; 0,75 horas para cambiar el aceite y el filtro del mot

Sunny_sXe [5.5K]

Answer:

$170.56\ soles$

Step-by-step explanation:

The question in English

1.5 hours for tuning; 0.2 hours for cleaning the battery; 0.75 hours for changing the oil and engine filter; 1.45 hours for changing and aligning lights; and 1.3 hours for repairing the air conditioning system. The hourly rate is 32.8 soles; how much does it cost to repair the car?

step 1

Sum the hours to repair the car

$(1.5+0.2+0.75+1.45+1.3)=5.2\ hours$