A slope intercept form: y = mx + b where m = slope and b = y -intercept
A slope of 3/2 is given
So y = 3/2 x + b
To find b:
b = y - mx
A line passes through the point (4, -6)
b = -6 - (3/2)(4)
b = -6 - 6
b = - 12
Answer
Equation in slope intercept form: y = 3/2 x - 12
Cost/(number of cassettes) = $14.50/2 = x/15
Multiply by 15 to solve
15*($14.50/2) = x = $108.75
15 cassettes will cost $108.75.
Answer:
a) The cost of buying this car is of £6200.
b) The monthly payment is of £450.
Step-by-step explanation:
The cost of buying a car is given by:
cost = 12 X monthly payment + deposit
a) Find the cost of a car when the monthly payment is £350 and the deposit is £2000.
So
cost = 12*350 + 2000 = 4200 + 2000 = 6200
The cost of buying this car is of £6200.
b) The cost of another car is £8000. Find the monthly payment when the deposit is £2600.
Again, the formula is applied. So
cost = 12 X monthly payment + deposit
8000 = 12x + 2600
12x = 5400
x = 5400/12
x = 450
The monthly payment is of £450.
The ration of boy campers to total campers is 8:15, and the ratio of girl campers to total campers is 7:15. Using this information, we can answer this question by setting up proportions.
<u>For boys:</u>

<em>*Cross multiply*</em>
15x=1560
<em>*Divide both sides by 15*</em>
x=104
There are 169 boy campers.
<u>For girls:</u>

<em>*Cross multiply*</em>
15x=1365
91=x
There are 91 girl campers.
Hope this helps!!
Answer:
Step-by-step explanation: