Alandscaper makes a $2,000 profit in a week when he services 25 lawns. he makes a $600 profit in a week when he services 11 lawns. if his profit for the week is a linear function of the number of lawns serviced, how much profit would he receive in a week that he services 36 lawns?

The profit the landscaper receives in a week that he services 36 lawns = $3600.

Step-by-step explanation:

i) let the profit made by the landscaper be known as y

ii) let the number of lawns serviced be = x

iii) let k be a constant to represent an average price of a lawn that is serviced

iv) therefore we can write a linear equation for the profit made by the landscaper as   y = kx

v) therefore  we know from given information that  2000 = 25k and also that   600 = 11k .

vi) Subtracting the second equation in vi) from first equation in vi) we get

 1400 = 14k.

vii) therefore k = 100.

viii) therefore for 36 lawns the profit is y = 100 36 = $3600.

i got 10.28 but that rounds up to 10.3

step-by-step explanation: