Question

5. Jason works at a local fish and chips restaurant.

He earns $7/h during the week, and $9/h on the weekend.
a) Jason works 8 h during the week and 12 h on the weekend.
Write an expression for his earnings.
b) Jason works x hours during the week, and 5 h on the
weekend. Write an algebraic expression for his earnings.
c) Jason needs $115 to buy sports equipment.
He worked 5 h on the weekend.
How many hours does Jason need to work during the week to
have the money he needs?

Answer 1

a) 7(8)+9 (12)

b)7x+45

c )10 hours

Explanation:

Hi, to answer this question we have to write an expression

The amount earned by Jason must be equal to the product of the amount he earns per hour during the week (7) and the hours worked during the week (x) ; plus the product of the amount he earns per hour during the weekend ( 9) and the hours worked during the weekend (y):

7x+ 9y

a) substitute x=8 and y=12

7 (8)+ 9 (12)

b) substitute y =5

7 x +9(5) =

7x+ 45 =

c)

Substitute y=5 and the expression must be equal to the amount he needs to buy sports equipment (115):

7x+9 (5)=115

Solving for x:

7x + 45 =115

7x = 115-45

7x = 70

x =70/7

x =10 hours