Question

mat2l
part b: long answer questions

1. david is a mobile home salesman. he is paid $55 000 per year plus a 5% commission. he sold $1 200 000 worth of mobile homes last year.

a) how much did david earn from his sales commission?
b) how much money, in total, did david earn last year?

1. steven needed to buy a new exercise bike. he found one for $1236.99 that was on sale for 20% off. calculate the sale price of the bike. show your work; price, calculation of discount, and calculation of sale price.
2. peter’s everything pink emporium has a 25% of sale on shirts. shirts normally cost $79.99. tax is 13%. calculate the sale price of one shirt with tax. show your work.
3. sam’s car has an actual length of 400 cm. a scale reduction of the car is shown.

a) measure the length of the diagram. cm
b) the actual car is times as long as the diagram.
c) the scale of this drawing is 1:

Explanation:

Question 1a:

Step1: Convert commission rate to decimal

$5\% = 0.05$

Step2: Calculate commission earnings

$\$1200000 \times 0.05 = \$60000$

Question 1b:

Step1: Sum salary and commission

$\$55000 + \$60000 = \$115000$

Question 2:

Step1: Convert discount rate to decimal

$20\% = 0.20$

Step2: Calculate discount amount

$\$1236.99 \times 0.20 = \$247.398$

Step3: Subtract discount from original price

$\$1236.99 - \$247.398 = \$989.592$

Question 3:

Step1: Convert discount rate to decimal

$25\% = 0.25$

Step2: Calculate sale price before tax

$\$79.99 \times (1 - 0.25) = \$79.99 \times 0.75 = \$59.9925$

Step3: Convert tax rate to decimal

$13\% = 0.13$

Step4: Calculate total price with tax

$\$59.9925 \times (1 + 0.13) = \$59.9925 \times 1.13 = \$67.791525$

Question 4:

Step1 (4a): Measure diagram length

(Note: Based on the labeled scale bar, the diagram length is 4 cm)

Step2 (4b): Find scale factor

$\frac{400}{4} = 100$

Step3 (4c): Write scale ratio

$1:100$

Answer:

1. a) $\$60000$

b) $\$115000$

1. $\$989.59$ (rounded to nearest cent)
2. $\$67.79$ (rounded to nearest cent)
3. a) $4$ cm

b) $100$
c) $100$