Higher June 2022 Paper 2 Q6
6 A new phone cost £679
The value of the phone decreases at a rate of 4% per year.
Work out the value of the phone at the end of 3 years. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 600.74 | M1 | works out decrease for one year eg \(679 \times 4 \div 100\ (= 27.16)\) oe or \(679 \times (100 - 4) \div 100\ (= 651.84)\) oe |
| M1 | for compound method, eg \(679 \times \text{``}0.96\text{''}^t,\ t \geqslant 2\) or \(\text{``}651.84\text{''} \times \text{``}0.96\text{''}\ (= 625.76..)\) or \(\text{``}651.84\text{''} \times 0.04\ (= 26.07)\) or for answers in the range 600.71 to 600.74 | |
| A1 | for 600.71 or 600.72 or 600.73 or 600.74 |
Additional guidance
Implied by \(679 \times 0.12\ (= 81.48)\)
or \(679 \times 0.88\ (= 597.52)\)
Values may be rounded or truncated
If correct answer seen, and then difference found award M1M1A0