Answer:
255
Step-by-step explanation:
total cost paid = fixed cost + total variable cost
total variable cost = distance travelled x variable cost per unit
two equations can be derived from the question
a + 10b = 105 equation 1
a + 15b = 155 equation 2
a = fixed cost
b = variable cost per unit
Subtract equation 1 from 2
5b = 50
b = 10
Substitute for b in equation 1
a + 10(10) = 105
a = 105 - 100 = 5
a = 5
cost of travelling a distance of 25km
5 + 10(25) = 255
1. 9^2
2. 15^3
3. 14^3
4. 11^5
5. 16^4
Answer:
y = 10
Step-by-step explanation:
based on the question if y varries directly as x
mathematically
y ∝ x
also, y varries inversly as z can be mathematically expressed as
y ∝ 1/z
combining the two expressions
y ∝ x ∝ 1/z
i. e
y = kx/z..... where k is the constant of proportionality
make k the subject of formulae
yz = kx
Divide both sides by x
k =yz/x
when y=100 , x = 5 z =10
k = 100 × 10/5
k = 200
to find y when x = 3 and z = 60
<h3>from the equation connecting x,y,z</h3>
k =yz/x
200 =60y/3
cross multiply
60y = 200 × 3
60y = 600
divide both sides by 60
y = 10
