Question

The cost C of hiring a lorry is partly constant and partly varies with the time T spent. If it cost ₦850 for 4 hours hire and ₦1300 for 7 hours hire, find the cost for 12 hours.

Answer 1

Answer:

#2,050

Step-by-step explanation:

Firstly bring out d information you av

C=a+bT (where a and b are constants)

Substitute the given values in the equations

#850=a+4b....(1)

#1300=a+7b......(2)

Subtract equation(1) from equation (2)

giving us: -#450=-3b

Divide both sides by -3

which gives: b=#150

Substitute #150 for b in equation(1)

#850=a-4b

#850=a+4(#150)

#850=a+#600

collect like terms

#850-#600=a

a=#250

.a=#250,b=150

C=a+bT

Substitute #250 and #150 for a and b in the equation above

C=250+150T(formula connecting C and T)

C=?, T=12hrs

C=#250+#150(12)

C=#250+#1800

....C=#2050

Answer 2

Answer:

$1800

Step-by-step explanation:

First, rewrite out the information you already have:

-for 4 hrs-cost $850

-for 7 hrs-cost $1300

-for 12 hrs-$?

Next, we have to find out the amount of cost for hire per hour, so we can multiply that by 12 hrs:

-start by subtracting $850 from $1300:

1300-850=$450

-now subtract 4 hrs from 7 hrs:

7-4=3 hrs

In doing this, we see that the cost for 3 hrs hire is $450.  Now, to find the unit cost per hr hire, divide $450 by 3 hrs:

450÷3=$150/hr

It costs $150 per hr hire.

Now, we have to find the cost for 12 hrs hire, so just multipy the unit cost by 12:

150*12=$1800 for 12 hrs hire

It costs $1800 for 12 hrs hire.